Question

A rectangular pyramid fits exactly on top of a rectangular prism. The prisim has a length of 15 cm, width 5 cm, and height 7 cm, and the pyramid has a height of 13 cm. Find the volume of the composite space figure

Answer 1

The formula for a rectangular pyramid is equal to V=(l*w*h)/3 where "l" represent the length, the "w" represents the width and "h" represents the height.

We have givens such as:

l=15 cm

w=5 cm

h=7 cm

Solving for the volume, we have:

V=(15*5*13)/3

V=325

Solving for prism volume

V=l*w*h

V=15*5*7

V=525

For the composite volume:

CV=325+525

CV=850

Answer 2

The formula for a rectangular pyramid is equal to V=(l*w*h)/3 where "l" represent the length, the "w" represents the width and "h" represents the height.
We have givens such as:
l=15 cm
w=5 cm
h=7 cm
Solving for the volume, we have:
V=(15*5*13)/3
V=325

Solving for prism volume
V=l*w*h
V=15*5*7
V=175

For the composite volume:
CV=325+175
CV=500