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What is the volume of the composite figure?

What is the volume of the composite figure?-example-1
User Waruyama
by
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2 Answers

7 votes

Answer:

3720 units^3

Explanation:


User SRBhagwat
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2 votes

For this case we must find the volume of the figure composed of a parallelepiped and a pyramid. The volume of the parallelepiped is given by:


V = a * b * c

Where a, b and c are the sides


V = 20 * 15 * 12\\V = 3600 \ units ^ 3

For its part, the volume of the pyramid is given by:


V = \frac {b * h} {2} * Depth

Where:


b = 15\\h = 16\\Depth = 20


V = \frac {15 * 16} {2} * 20\\V = 2400 \ units ^ 3

Thus, the total volume is given by the sum of the volumes.


Vt = 3600 + 2400\\Vt = 6000 \ units ^ 3

Answer:

D


User Cristian Boariu
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5.0k points