Question

What is the volume of the figure below if a = 9 units and b = 7 units?

A.
760.5 cubic units
B.
1,296 cubic units
C.
1,012.5 cubic units
D.
364.5 cubic units

Answer 1

Base (cube):
`V=s^3`

`V=9\cdot9\cdot9=729`

Top (triangular prism):
`V=(1)/(2)bhl`

`V = (1)/(2)(9\cdot7)\cdot9=283.5`

Together:

`V = 729+283.5 =1012.5`

C.

1012.5 cubic units.