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What is the surface area of the prism?

A. 82 yd.^2
B. 90 yd.^2
C. 96 yd.^2
D. 108 yd. ^2

What is the surface area of the prism? A. 82 yd.^2 B. 90 yd.^2 C. 96 yd.^2 D. 108 yd-example-1
User Avraham
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2 Answers

7 votes

Answer:

C.96 yd²

Explanation:

User Fergie
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5 votes
Surface area of the prism= surface area of the base + surface area of the two triangles + surface area of the two rectangles.

Surface area of the base=(3 yd * 7 yd)=21 yd².
Surface area of the two triangles=2*(3 yd * 4 yd)/2=12 yd².
Surface area of the two rectangles=(7 yd * 5 yd) + (7 yd * 4yd)=35 yd² + 28 yd²=
=63 yd²

Surface of the prism=21 yd² + 12 yd² + 63 yd²=96 yd²

Remember:
surface area of a triangle=(base * height)/2
surface area of a rectangle=base * height.

Answer: C.96 yd²
User Jose Zevallos
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