Which diagram is a net for this prism? $\newline$ What is the surface area of the triangular prism?

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Q. Which diagram is a net for this prism?

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What is the surface area of the triangular prism?

Identify shapes in net: Identify the shapes in the net of the triangular prism: two triangles and three rectangles.
Calculate triangle area: Calculate the area of one triangle. If the base is $b$ and the height is $h$ , the area is $\frac{1}{2} \times b \times h$ .
Calculate total triangle area: Assume the base $b$ is $5$ units and the height $h$ is $4$ units. So, the area of one triangle is $(1/2) \times 5 \times 4 = 10$ square units.
Calculate rectangle areas: Since there are two congruent triangles, multiply the area of one triangle by $2$ . Total area of triangles is $10 \times 2 = 20$ square units.
Calculate total rectangle area: Calculate the area of the three rectangles. If the length is $l$ and the width is $w$ , the area is $l \times w$ .
Calculate surface area: Assume the dimensions of the rectangles are: length $l_1 = 5$ units, width $w_1 = 3$ units; length $l_2 = 4$ units, width $w_2 = 3$ units; length $l_3 = 5$ units, width $w_3 = 3$ units.
Calculate surface area: Assume the dimensions of the rectangles are: length $l_1 = 5$ units, width $w_1 = 3$ units; length $l_2 = 4$ units, width $w_2 = 3$ units; length $l_3 = 5$ units, width $w_3 = 3$ units.Calculate the area of each rectangle: $\text{Area}_1 = l_1 \times w_1 = 5 \times 3 = 15$ square units; $\text{Area}_2 = l_2 \times w_2 = 4 \times 3 = 12$ square units; $\text{Area}_3 = l_3 \times w_3 = 5 \times 3 = 15$ square units.
Calculate surface area: Assume the dimensions of the rectangles are: length $l_1 = 5$ units, width $w_1 = 3$ units; length $l_2 = 4$ units, width $w_2 = 3$ units; length $l_3 = 5$ units, width $w_3 = 3$ units.Calculate the area of each rectangle: $\text{Area}_1 = l_1 \times w_1 = 5 \times 3 = 15$ square units; $\text{Area}_2 = l_2 \times w_2 = 4 \times 3 = 12$ square units; $\text{Area}_3 = l_3 \times w_3 = 5 \times 3 = 15$ square units.Add the areas of the rectangles: $15 + 12 + 15 = 42$ square units.
Calculate surface area: Assume the dimensions of the rectangles are: length $l_1 = 5$ units, width $w_1 = 3$ units; length $l_2 = 4$ units, width $w_2 = 3$ units; length $l_3 = 5$ units, width $w_3 = 3$ units.Calculate the area of each rectangle: $\text{Area}_1 = l_1 \times w_1 = 5 \times 3 = 15$ square units; $\text{Area}_2 = l_2 \times w_2 = 4 \times 3 = 12$ square units; $\text{Area}_3 = l_3 \times w_3 = 5 \times 3 = 15$ square units.Add the areas of the rectangles: $15 + 12 + 15 = 42$ square units.Add the total area of the triangles and rectangles to find the surface area of the prism: $w_1 = 3$ $0$ square units.