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What is the surface area of the solid?

A. 32 square centimeters

B. 176 square centimeters

C. 160 square centimeters

D. 192 square centimeters

What is the surface area of the solid? A. 32 square centimeters B. 176 square centimeters-example-1
User Chris Ladd
by
3.5k points

2 Answers

2 votes

Answer: the answer is D. 192 square centimeters

Step-by-step explanation: [(10x4)x4]+[(4x4)x2]

=(40x4)+(16x2)

=160+32

=192cm²

User Kghastie
by
3.1k points
6 votes

Answer:

Answer D is correct

Explanation:

This solid consists of 2 squares and 4 rectangles.

So, to find this solid's surface area, you have to find the areas of the rectangles and squares and add them together.

Therefore, the formula to find the surface of the solid is:

Surface area = 4 × area of the rectangles + 2 × areas of the squares.

Let us find it now.

S.A. = 4 × ( length × width ) + 2 × ( length × width )

S.A. = 4 × ( 10 × 4 ) + 2 × ( 4 × 4 )

S.A. = 4 × 40 + 2 × 16

S.A. = 160 + 32

S.A. = 192 cm²

User Chippycentra
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4.2k points