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21 votes
21 votes
What is the surface area of this figure in square centimeters?

A.96
B.75
C.84
D.60

What is the surface area of this figure in square centimeters? A.96 B.75 C.84 D.60-example-1
User Kosnkov
by
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1 Answer

11 votes
11 votes

9514 1404 393

Answer:

A. 96

Explanation:

The surface area is the sum of the areas of the two triangular bases and the areas of the three rectangular lateral faces.

A = 2(1/2)bh + PH

where b is the base of the triangle, h is its height, P is the perimeter of the triangle, and H is the height of the prism.

A = (3 cm)(4 cm) +(3 +4 +5 cm)(7 cm) = 12 cm² +84 cm²

A = 96 cm²

The surface area of the triangular prism is 96 square cm.

User MartinByers
by
3.1k points