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What is the surface area of this solid?

_______ square meters

o 101
o 107
o 116
o 131

What is the surface area of this solid? _______ square meters o 101 o 107 o 116 o-example-1
User Grexis
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2 Answers

9 votes
9 votes
The surface area of this solid is 107.
User Alex Shnayder
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25 votes
25 votes

Answer:

The surface area of this solid is:

b. 107

Explanation:

To understand this answer we need to analyze it. First, we have different geometric figures composing the solid. A pyramid and a rectangular prism. We need to obtain the surface, not the volume so we need to obtain the area of all the figures composing the pyramid and the prism without the hidden part of the pyramid base. We need to obtain the following areas:

2 rectangles with the following measures= W=2 L= 8

1 rectangle with the following measures= W=3 L=8

1 rectangle with the following measures= W=3 L 5

2 rectangles with the following measures= W=2 L=3

4 triangles with the following measures= B=3 H=4

Following the formula for the rectangles W x L we obtain a total area for them of 83 square meters.

Following the formula for the triangles b x h / 2 we obtain the following area: 24 square meters. Then we add both and obtain 107 square meters.

User Shenku
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