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Find the surface of this composite solid.

A. 152 m^2
B. 120 m^2
C. 136 m^2
D. 104 m^2

Find the surface of this composite solid. A. 152 m^2 B. 120 m^2 C. 136 m^2 D. 104 m-example-1

1 Answer

3 votes

Answer:

B

Explanation:

The surface area of this solid is the sum of all the surfaces.

There are 4 rectangular surfaces all around, each measuring 4 by 5 m.

So area of 4 of these surfaces is: 4 * (4*5)= 4 * 20 = 80

The bottom is a rectangle with dimensions 4 and 4. So area is 4 * 4 = 16

There are 4 triangular faces in the top portion, each with base 4 and height 3. Area of triangle is 1/2 * base * height. Hence,

Area of 4 of these triangles is 4*[(1/2)*4*3] = 4 * 6 = 24

Thus, the surface area = 80 + 16 + 24 = 120 m^2

Answer choice B is right.

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