# Find Surface Area Of Square Pyramid Problems

7 questions

### #1 of 7:Mild

Find surface area of square pyramid

<p>A square pyramid has a side length of `3` yards on the base and a slant height of `8` yards?</p><SquarePyramid3D data-props='{ "triangle_base": 3, "pyramid_height": 8, "faces": [ { "id": 1, "position": "front", "color": "#F8F8F8" }, { "id": 2, "position": "left", "color": "#F8F8F8" }, { "id": 3, "position": "back", "color": "#F8F8F8" }, { "id": 4, "position": "right", "color": "#F8F8F8" }, { "id": 5, "position": "bottom", "color": "#F8F8F8" } ], "edges": [ { "id": 1, "face": "front", "position": "left", "color": "#080808", "label": "5 yd" }, { "id": 2, "face": "front", "position": "right", "color": "#080808", "label": "5 yd" }, { "id": 3, "face": "front", "position": "bottom", "color": "#080808", "label": "5 yd" }, { "id": 4, "face": "back", "position": "left", "color": "#080808", "label": "5 yd" }, { "id": 5, "face": "back", "position": "right", "color": "#080808", "label": "5 yd" }, { "id": 6, "face": "back", "position": "bottom", "color": "#080808", "label": "5 yd" }, { "id": 7, "face": "right", "position": "bottom", "color": "#080808", "label": "5yd" }, { "id": 8, "face": "left", "position": "bottom", "color": "#080808", "label": "5yd" } ], "face_altitude": { "show_altitude": true, "show_angle": true, "label": "8 yd", "color": "black" }, "unit": "yd", "show_default_labels": true, "animation_delay": 0, "animation_duration": 0, "animation_sequences": [], "show_animation": false}'></SquarePyramid3D ><p>What is the surface area of the square pyramid?</p>

### #2 of 7:Mild

Find surface area of square pyramid

<p>A square pyramid has a side length of `4` inches on the base and a slant height of `7` inches?</p><SquarePyramid3D data-props='{ "triangle_base": 4, "pyramid_height": 7, "faces": [ { "id": 1, "position": "front", "color": "#F8F8F8" }, { "id": 2, "position": "left", "color": "#F8F8F8" }, { "id": 3, "position": "back", "color": "#F8F8F8" }, { "id": 4, "position": "right", "color": "#F8F8F8" }, { "id": 5, "position": "bottom", "color": "#F8F8F8" } ], "edges": [ { "id": 1, "face": "front", "position": "left", "color": "#080808", "label": "5 yd" }, { "id": 2, "face": "front", "position": "right", "color": "#080808", "label": "5 yd" }, { "id": 3, "face": "front", "position": "bottom", "color": "#080808", "label": "5 yd" }, { "id": 4, "face": "back", "position": "left", "color": "#080808", "label": "5 yd" }, { "id": 5, "face": "back", "position": "right", "color": "#080808", "label": "5 yd" }, { "id": 6, "face": "back", "position": "bottom", "color": "#080808", "label": "5 yd" }, { "id": 7, "face": "right", "position": "bottom", "color": "#080808", "label": "5yd" }, { "id": 8, "face": "left", "position": "bottom", "color": "#080808", "label": "5yd" } ], "face_altitude": { "show_altitude": true, "show_angle": true, "label": "7 in", "color": "black" }, "unit": "in", "show_default_labels": true, "animation_delay": 0, "animation_duration": 0, "animation_sequences": [], "show_animation": false}'></SquarePyramid3D ><p>What is the surface area of the square pyramid?</p>

### #3 of 7:Medium

Find surface area of square pyramid

<p>A square pyramid has a side length of `18` centimeters on the base and a slant height of `24` centimeters?</p><SquarePyramid3D data-props='{ "triangle_base": 18, "pyramid_height": 24, "faces": [ { "id": 1, "position": "front", "color": "#F8F8F8" }, { "id": 2, "position": "left", "color": "#F8F8F8" }, { "id": 3, "position": "back", "color": "#F8F8F8" }, { "id": 4, "position": "right", "color": "#F8F8F8" }, { "id": 5, "position": "bottom", "color": "#F8F8F8" } ], "edges": [ { "id": 1, "face": "front", "position": "left", "color": "#080808", "label": "5 yd" }, { "id": 2, "face": "front", "position": "right", "color": "#080808", "label": "5 yd" }, { "id": 3, "face": "front", "position": "bottom", "color": "#080808", "label": "5 yd" }, { "id": 4, "face": "back", "position": "left", "color": "#080808", "label": "5 yd" }, { "id": 5, "face": "back", "position": "right", "color": "#080808", "label": "5 yd" }, { "id": 6, "face": "back", "position": "bottom", "color": "#080808", "label": "5 yd" }, { "id": 7, "face": "right", "position": "bottom", "color": "#080808", "label": "5yd" }, { "id": 8, "face": "left", "position": "bottom", "color": "#080808", "label": "5yd" } ], "face_altitude": { "show_altitude": true, "show_angle": true, "label": "24 cm", "color": "black" }, "unit": "cm", "show_default_labels": true, "animation_delay": 0, "animation_duration": 0, "animation_sequences": [], "show_animation": false}'></SquarePyramid3D ><p>What is the surface area of the square pyramid?</p>

### #4 of 7:Medium

Find surface area of square pyramid

<p>A square pyramid has a side length of `9` yards on the base and a slant height of `16` yards?</p><SquarePyramid3D data-props='{ "triangle_base": 9, "pyramid_height": 16, "faces": [ { "id": 1, "position": "front", "color": "#F8F8F8" }, { "id": 2, "position": "left", "color": "#F8F8F8" }, { "id": 3, "position": "back", "color": "#F8F8F8" }, { "id": 4, "position": "right", "color": "#F8F8F8" }, { "id": 5, "position": "bottom", "color": "#F8F8F8" } ], "edges": [ { "id": 1, "face": "front", "position": "left", "color": "#080808", "label": "5 yd" }, { "id": 2, "face": "front", "position": "right", "color": "#080808", "label": "5 yd" }, { "id": 3, "face": "front", "position": "bottom", "color": "#080808", "label": "5 yd" }, { "id": 4, "face": "back", "position": "left", "color": "#080808", "label": "5 yd" }, { "id": 5, "face": "back", "position": "right", "color": "#080808", "label": "5 yd" }, { "id": 6, "face": "back", "position": "bottom", "color": "#080808", "label": "5 yd" }, { "id": 7, "face": "right", "position": "bottom", "color": "#080808", "label": "5yd" }, { "id": 8, "face": "left", "position": "bottom", "color": "#080808", "label": "5yd" } ], "face_altitude": { "show_altitude": true, "show_angle": true, "label": "16 yd", "color": "black" }, "unit": "yd", "show_default_labels": true, "animation_delay": 0, "animation_duration": 0, "animation_sequences": [], "show_animation": false}'></SquarePyramid3D ><p>What is the surface area of the square pyramid?</p>

### #5 of 7:Medium

Find surface area of square pyramid

<p>A square pyramid has a side length of `12` yards on the base and a slant height of `9` yards?</p><SquarePyramid3D data-props='{ "triangle_base": 12, "pyramid_height": 9, "faces": [ { "id": 1, "position": "front", "color": "#F8F8F8" }, { "id": 2, "position": "left", "color": "#F8F8F8" }, { "id": 3, "position": "back", "color": "#F8F8F8" }, { "id": 4, "position": "right", "color": "#F8F8F8" }, { "id": 5, "position": "bottom", "color": "#F8F8F8" } ], "edges": [ { "id": 1, "face": "front", "position": "left", "color": "#080808", "label": "5 yd" }, { "id": 2, "face": "front", "position": "right", "color": "#080808", "label": "5 yd" }, { "id": 3, "face": "front", "position": "bottom", "color": "#080808", "label": "5 yd" }, { "id": 4, "face": "back", "position": "left", "color": "#080808", "label": "5 yd" }, { "id": 5, "face": "back", "position": "right", "color": "#080808", "label": "5 yd" }, { "id": 6, "face": "back", "position": "bottom", "color": "#080808", "label": "5 yd" }, { "id": 7, "face": "right", "position": "bottom", "color": "#080808", "label": "5yd" }, { "id": 8, "face": "left", "position": "bottom", "color": "#080808", "label": "5yd" } ], "face_altitude": { "show_altitude": true, "show_angle": true, "label": "9 yd", "color": "black" }, "unit": "yd", "show_default_labels": true, "animation_delay": 0, "animation_duration": 0, "animation_sequences": [], "show_animation": false}'></SquarePyramid3D ><p>What is the surface area of the square pyramid?</p>

### #6 of 7:Medium

Find surface area of square pyramid

<p>A square pyramid has a side length of `13` meters on the base and a slant height of `9` meters?</p><SquarePyramid3D data-props='{ "triangle_base": 13, "pyramid_height": 9, "faces": [ { "id": 1, "position": "front", "color": "#F8F8F8" }, { "id": 2, "position": "left", "color": "#F8F8F8" }, { "id": 3, "position": "back", "color": "#F8F8F8" }, { "id": 4, "position": "right", "color": "#F8F8F8" }, { "id": 5, "position": "bottom", "color": "#F8F8F8" } ], "edges": [ { "id": 1, "face": "front", "position": "left", "color": "#080808", "label": "5 yd" }, { "id": 2, "face": "front", "position": "right", "color": "#080808", "label": "5 yd" }, { "id": 3, "face": "front", "position": "bottom", "color": "#080808", "label": "5 yd" }, { "id": 4, "face": "back", "position": "left", "color": "#080808", "label": "5 yd" }, { "id": 5, "face": "back", "position": "right", "color": "#080808", "label": "5 yd" }, { "id": 6, "face": "back", "position": "bottom", "color": "#080808", "label": "5 yd" }, { "id": 7, "face": "right", "position": "bottom", "color": "#080808", "label": "5yd" }, { "id": 8, "face": "left", "position": "bottom", "color": "#080808", "label": "5yd" } ], "face_altitude": { "show_altitude": true, "show_angle": true, "label": "9 m", "color": "black" }, "unit": "m", "show_default_labels": true, "animation_delay": 0, "animation_duration": 0, "animation_sequences": [], "show_animation": false}'></SquarePyramid3D ><p>What is the surface area of the square pyramid?</p>

### #7 of 7:Medium

Find surface area of square pyramid

<p>A square pyramid has a side length of `7` inches on the base and a slant height of `15` inches?</p><SquarePyramid3D data-props='{ "triangle_base": 7, "pyramid_height": 15, "faces": [ { "id": 1, "position": "front", "color": "#F8F8F8" }, { "id": 2, "position": "left", "color": "#F8F8F8" }, { "id": 3, "position": "back", "color": "#F8F8F8" }, { "id": 4, "position": "right", "color": "#F8F8F8" }, { "id": 5, "position": "bottom", "color": "#F8F8F8" } ], "edges": [ { "id": 1, "face": "front", "position": "left", "color": "#080808", "label": "5 yd" }, { "id": 2, "face": "front", "position": "right", "color": "#080808", "label": "5 yd" }, { "id": 3, "face": "front", "position": "bottom", "color": "#080808", "label": "5 yd" }, { "id": 4, "face": "back", "position": "left", "color": "#080808", "label": "5 yd" }, { "id": 5, "face": "back", "position": "right", "color": "#080808", "label": "5 yd" }, { "id": 6, "face": "back", "position": "bottom", "color": "#080808", "label": "5 yd" }, { "id": 7, "face": "right", "position": "bottom", "color": "#080808", "label": "5yd" }, { "id": 8, "face": "left", "position": "bottom", "color": "#080808", "label": "5yd" } ], "face_altitude": { "show_altitude": true, "show_angle": true, "label": "15 in", "color": "black" }, "unit": "in", "show_default_labels": true, "animation_delay": 0, "animation_duration": 0, "animation_sequences": [], "show_animation": false}'></SquarePyramid3D ><p>What is the surface area of the square pyramid?</p>

A square pyramid is a 3D shape, which includes 4 triangles sites and one square in the base. The surface area of the square pyramid can be calculated by adding the surface area of the square and all 4 triangles. Students should try to solve the surface area of the square pyramid problems, which can help them to understand the surface area and the shape of the pyramid.

Teachers can also use these problems in the classroom to develo...

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Surface Area And Volume
7.G.B.6

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### What teachers are saying about BytelearnWhat teachers are saying

Stephen Abate
19-year math teacher
Carmel, CA
Any math teacher that I know would love to have access to ByteLearn.
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 Loureiro
Dean, math program manager, principal
Miami, FL
“ByteLearn provides instant, customized feedback for students—a game-changer to the educational landscape.”