What is the volume of the composite figure?

Question

asked May 7, 2020 80.3k views

2 Answers

Cristian Boariu · Answer 1 · 2020-05-11T02:37:33+0000

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