Find Volume Of Triangular Prism Problems

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#1 of 7: Mild

Find volume of triangular prism

<p>What is the volume of the prism below?</p><TriangularPrism3D data-props='{ "triangle_base": 3, "triangle_left_side": 5, "triangle_right_side": 5, "prism_height": 4, "prism_length": 9, "triangle_type": "right_triangular_prism", "faces": [ { "id": 1, "position": "front", "color": "#D6D6D6" }, { "id": 2, "position": "back", "color": "#F8F8F8" }, { "id": 3, "position": "bottom", "color": "#F8F8F8" }, { "id": 4, "position": "left", "color": "#F8F8F8" }, { "id": 5, "position": "right", "color": "#F8F8F8" } ], "edges": [ { "id": 1, "face": "front", "position": "left", "color": "#080808", "label": { "text": "4 m", "show_label": true } }, { "id": 2, "face": "front", "position": "right", "color": "#080808", "label": { "text": " ", "show_label": true } }, { "id": 3, "face": "front", "position": "bottom", "color": "#080808", "label": { "text": "3 m", "show_label": true } }, { "id": 4, "face": "back", "position": "left", "color": "#080808", "label": { "text": " ", "show_label": true } }, { "id": 5, "face": "back", "position": "right", "color": "#080808", "label": { "text": " ", "show_label": true } }, { "id": 6, "face": "back", "position": "bottom", "color": "#080808", "label": { "text": " ", "show_label": true } }, { "id": 7, "face": "right", "position": "top", "color": "#080808", "label": { "text": " ", "show_label": true } }, { "id": 8, "face": "right", "position": "bottom", "color": "#080808", "label": { "text": "9 m", "show_label": true } }, { "id": 9, "face": "left", "position": "bottom", "color": "#080808", "label": { "text": " ", "show_label": true } } ], "face_altitude": { "show_altitude": true, "show_angle": true, "label": "4 m", "color": "black" }, "unit": "m", "show_default_labels": false, "animation_delay": 0, "animation_duration": 0, "animation_sequences": [], "show_animation": false}'></TriangularPrism3D >

#2 of 7: Medium

Find volume of triangular prism

<p>What is the volume of the prism below?</p><TriangularPrism3D data-props='{ "triangle_base": 42, "triangle_left_side": 28, "triangle_right_side": 16, "prism_height": 14, "prism_length": 45, "triangle_type": "triangular_prism", "faces": [ { "id": 1, "position": "front", "color": "#D6D6D6" }, { "id": 2, "position": "back", "color": "#F8F8F8" }, { "id": 3, "position": "bottom", "color": "#F8F8F8" }, { "id": 4, "position": "left", "color": "#F8F8F8" }, { "id": 5, "position": "right", "color": "#F8F8F8" } ], "edges": [ { "id": 1, "face": "front", "position": "left", "color": "#080808", "label": { "text": " ", "show_label": true } }, { "id": 2, "face": "front", "position": "right", "color": "#080808", "label": { "text": " ", "show_label": true } }, { "id": 3, "face": "front", "position": "bottom", "color": "#080808", "label": { "text": "42 in", "show_label": true } }, { "id": 4, "face": "back", "position": "left", "color": "#080808", "label": { "text": " ", "show_label": true } }, { "id": 5, "face": "back", "position": "right", "color": "#080808", "label": { "text": " ", "show_label": true } }, { "id": 6, "face": "back", "position": "bottom", "color": "#080808", "label": { "text": " ", "show_label": true } }, { "id": 7, "face": "right", "position": "top", "color": "#080808", "label": { "text": " ", "show_label": true } }, { "id": 8, "face": "right", "position": "bottom", "color": "#080808", "label": { "text": "45 in", "show_label": true } }, { "id": 9, "face": "left", "position": "bottom", "color": "#080808", "label": { "text": " ", "show_label": true } } ], "face_altitude": { "show_altitude": true, "show_angle": true, "label": "14 in", "color": "black" }, "unit": "in", "show_default_labels": false, "animation_delay": 0, "animation_duration": 0, "animation_sequences": [], "show_animation": false}'></TriangularPrism3D >

#3 of 7: Medium

Find volume of triangular prism

<p>What is the volume of the prism below?</p><TriangularPrism3D data-props='{ "triangle_base": 18, "triangle_left_side": 12, "triangle_right_side": 12, "prism_height": 8.5, "prism_length": 25, "triangle_type": "triangular_prism", "faces": [ { "id": 1, "position": "front", "color": "#D6D6D6" }, { "id": 2, "position": "back", "color": "#F8F8F8" }, { "id": 3, "position": "bottom", "color": "#F8F8F8" }, { "id": 4, "position": "left", "color": "#F8F8F8" }, { "id": 5, "position": "right", "color": "#F8F8F8" } ], "edges": [ { "id": 1, "face": "front", "position": "left", "color": "#080808", "label": { "text": " ", "show_label": true } }, { "id": 2, "face": "front", "position": "right", "color": "#080808", "label": { "text": " ", "show_label": true } }, { "id": 3, "face": "front", "position": "bottom", "color": "#080808", "label": { "text": "18 in", "show_label": true } }, { "id": 4, "face": "back", "position": "left", "color": "#080808", "label": { "text": " ", "show_label": true } }, { "id": 5, "face": "back", "position": "right", "color": "#080808", "label": { "text": " ", "show_label": true } }, { "id": 6, "face": "back", "position": "bottom", "color": "#080808", "label": { "text": " ", "show_label": true } }, { "id": 7, "face": "right", "position": "top", "color": "#080808", "label": { "text": " ", "show_label": true } }, { "id": 8, "face": "right", "position": "bottom", "color": "#080808", "label": { "text": "25 in", "show_label": true } }, { "id": 9, "face": "left", "position": "bottom", "color": "#080808", "label": { "text": " ", "show_label": true } } ], "face_altitude": { "show_altitude": true, "show_angle": true, "label": "8.5 in", "color": "black" }, "unit": "in", "show_default_labels": false, "animation_delay": 0, "animation_duration": 0, "animation_sequences": [], "show_animation": false}'></TriangularPrism3D >

#4 of 7: Medium

Find volume of triangular prism

<p>What is the volume of the prism below?</p><TriangularPrism3D data-props='{ "triangle_base": 10, "triangle_left_side": 10, "triangle_right_side": 10, "prism_height": 8.6, "prism_length": 15, "triangle_type": "triangular_prism", "faces": [ { "id": 1, "position": "front", "color": "#D6D6D6" }, { "id": 2, "position": "back", "color": "#F8F8F8" }, { "id": 3, "position": "bottom", "color": "#F8F8F8" }, { "id": 4, "position": "left", "color": "#F8F8F8" }, { "id": 5, "position": "right", "color": "#F8F8F8" } ], "edges": [ { "id": 1, "face": "front", "position": "left", "color": "#080808", "label": { "text": " ", "show_label": true } }, { "id": 2, "face": "front", "position": "right", "color": "#080808", "label": { "text": " ", "show_label": true } }, { "id": 3, "face": "front", "position": "bottom", "color": "#080808", "label": { "text": "10 in", "show_label": true } }, { "id": 4, "face": "back", "position": "left", "color": "#080808", "label": { "text": " ", "show_label": true } }, { "id": 5, "face": "back", "position": "right", "color": "#080808", "label": { "text": " ", "show_label": true } }, { "id": 6, "face": "back", "position": "bottom", "color": "#080808", "label": { "text": " ", "show_label": true } }, { "id": 7, "face": "right", "position": "top", "color": "#080808", "label": { "text": " ", "show_label": true } }, { "id": 8, "face": "right", "position": "bottom", "color": "#080808", "label": { "text": "15 in", "show_label": true } }, { "id": 9, "face": "left", "position": "bottom", "color": "#080808", "label": { "text": " ", "show_label": true } } ], "face_altitude": { "show_altitude": true, "show_angle": true, "label": "8.5 in", "color": "black" }, "unit": "in", "show_default_labels": false, "animation_delay": 0, "animation_duration": 0, "animation_sequences": [], "show_animation": false}'></TriangularPrism3D >

#5 of 7: Medium

Find volume of triangular prism

<p>What is the volume of the prism below?</p><TriangularPrism3D data-props='{ "triangle_base": 11, "triangle_left_side": 8.6, "triangle_right_side": 6.2, "prism_height": 4.8, "prism_length": 16, "triangle_type": "triangular_prism", "faces": [ { "id": 1, "position": "front", "color": "#D6D6D6" }, { "id": 2, "position": "back", "color": "#F8F8F8" }, { "id": 3, "position": "bottom", "color": "#F8F8F8" }, { "id": 4, "position": "left", "color": "#F8F8F8" }, { "id": 5, "position": "right", "color": "#F8F8F8" } ], "edges": [ { "id": 1, "face": "front", "position": "left", "color": "#080808", "label": { "text": " ", "show_label": true } }, { "id": 2, "face": "front", "position": "right", "color": "#080808", "label": { "text": " ", "show_label": true } }, { "id": 3, "face": "front", "position": "bottom", "color": "#080808", "label": { "text": "10 in", "show_label": true } }, { "id": 4, "face": "back", "position": "left", "color": "#080808", "label": { "text": " ", "show_label": true } }, { "id": 5, "face": "back", "position": "right", "color": "#080808", "label": { "text": " ", "show_label": true } }, { "id": 6, "face": "back", "position": "bottom", "color": "#080808", "label": { "text": " ", "show_label": true } }, { "id": 7, "face": "right", "position": "top", "color": "#080808", "label": { "text": " ", "show_label": true } }, { "id": 8, "face": "right", "position": "bottom", "color": "#080808", "label": { "text": "16 in", "show_label": true } }, { "id": 9, "face": "left", "position": "bottom", "color": "#080808", "label": { "text": " ", "show_label": true } } ], "face_altitude": { "show_altitude": true, "show_angle": true, "label": "4.8 in", "color": "black" }, "unit": "in", "show_default_labels": false, "animation_delay": 0, "animation_duration": 0, "animation_sequences": [], "show_animation": false}'></TriangularPrism3D >

#6 of 7: Medium

Find volume of triangular prism

<p>What is the volume of the prism below?</p><TriangularPrism3D data-props='{ "triangle_base": 9.9, "triangle_left_side": 5.4, "triangle_right_side": 7.8, "prism_height": 4.2, "prism_length": 15, "triangle_type": "triangular_prism", "faces": [ { "id": 1, "position": "front", "color": "#D6D6D6" }, { "id": 2, "position": "back", "color": "#F8F8F8" }, { "id": 3, "position": "bottom", "color": "#F8F8F8" }, { "id": 4, "position": "left", "color": "#F8F8F8" }, { "id": 5, "position": "right", "color": "#F8F8F8" } ], "edges": [ { "id": 1, "face": "front", "position": "left", "color": "#080808", "label": { "text": " ", "show_label": true } }, { "id": 2, "face": "front", "position": "right", "color": "#080808", "label": { "text": " ", "show_label": true } }, { "id": 3, "face": "front", "position": "bottom", "color": "#080808", "label": { "text": "10 cm", "show_label": true } }, { "id": 4, "face": "back", "position": "left", "color": "#080808", "label": { "text": " ", "show_label": true } }, { "id": 5, "face": "back", "position": "right", "color": "#080808", "label": { "text": " ", "show_label": true } }, { "id": 6, "face": "back", "position": "bottom", "color": "#080808", "label": { "text": " ", "show_label": true } }, { "id": 7, "face": "right", "position": "top", "color": "#080808", "label": { "text": " ", "show_label": true } }, { "id": 8, "face": "right", "position": "bottom", "color": "#080808", "label": { "text": "15 cm", "show_label": true } }, { "id": 9, "face": "left", "position": "bottom", "color": "#080808", "label": { "text": " ", "show_label": true } } ], "face_altitude": { "show_altitude": true, "show_angle": true, "label": "4.2 cm", "color": "black" }, "unit": "cm", "show_default_labels": false, "animation_delay": 0, "animation_duration": 0, "animation_sequences": [], "show_animation": false}'></TriangularPrism3D >

#7 of 7: Medium

Find volume of triangular prism

<p>What is the volume of the prism below?</p><TriangularPrism3D data-props='{ "triangle_base": 25, "triangle_left_side": 14, "triangle_right_side": 15, "prism_height": 7.2, "prism_length": 30, "triangle_type": "triangular_prism", "faces": [ { "id": 1, "position": "front", "color": "#D6D6D6" }, { "id": 2, "position": "back", "color": "#F8F8F8" }, { "id": 3, "position": "bottom", "color": "#F8F8F8" }, { "id": 4, "position": "left", "color": "#F8F8F8" }, { "id": 5, "position": "right", "color": "#F8F8F8" } ], "edges": [ { "id": 1, "face": "front", "position": "left", "color": "#080808", "label": { "text": " ", "show_label": true } }, { "id": 2, "face": "front", "position": "right", "color": "#080808", "label": { "text": " ", "show_label": true } }, { "id": 3, "face": "front", "position": "bottom", "color": "#080808", "label": { "text": "25 m", "show_label": true } }, { "id": 4, "face": "back", "position": "left", "color": "#080808", "label": { "text": " ", "show_label": true } }, { "id": 5, "face": "back", "position": "right", "color": "#080808", "label": { "text": " ", "show_label": true } }, { "id": 6, "face": "back", "position": "bottom", "color": "#080808", "label": { "text": " ", "show_label": true } }, { "id": 7, "face": "right", "position": "top", "color": "#080808", "label": { "text": " ", "show_label": true } }, { "id": 8, "face": "right", "position": "bottom", "color": "#080808", "label": { "text": "30 m", "show_label": true } }, { "id": 9, "face": "left", "position": "bottom", "color": "#080808", "label": { "text": " ", "show_label": true } } ], "face_altitude": { "show_altitude": true, "show_angle": true, "label": "7.2 m", "color": "black" }, "unit": "m", "show_default_labels": false, "animation_delay": 0, "animation_duration": 0, "animation_sequences": [], "show_animation": false}'></TriangularPrism3D >

A triangular prism is a 3D object which has two triangles in the base and 3 lateral sides. The volume of the prism is the space occupied by the prism. The formula to find volume is by multiplying the area of the base triangle with the height of the prism. Students should do the volume of triangular prism Problems to get a clear understanding of the prisms volumes and how it is calculated.

Teachers can use the Problems to...

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Grade 7
Surface Area And Volume
7.G.B.6

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What teachers are saying about BytelearnWhat teachers are saying

stephan.png
Stephen Abate
19-year math teacher
Carmel, CA
Any math teacher that I know would love to have access to ByteLearn.
jennifer.png
Jennifer Maschino
4-year math teacher
Summerville, SC
“I love that ByteLearn helps reduce a teacher’s workload and engages students through an interactive digital interface.”
rodolpho.png
Rodolpho Loureiro
Dean, math program manager, principal
Miami, FL
“ByteLearn provides instant, customized feedback for students—a game-changer to the educational landscape.”