Question

The base of the prism in the diagram is rectangular, but the edges that are not parallel to the base are tilted. What is the volume of the prism?

A) 216 cm3
B) 288 cm3
C) 534 cm3
D) 648 cm3
E) 864 cm3

Answer 1

i believe your answer would be d

Answer 2

we know that

The volume of the prism is equal to

`V=B*h`

where

B is the area of the base

h is the height

in this problem

area of the base B is the area of a rectangle

`B=12*9=108\ cm^(2)`

`h=6\ cm` ----------> is the distance perpendicular to the base

Find the volume of the prism

`V=108*6=648\ cm^(3)`

therefore

the answer is

the volume of the prism is
`648\ cm^(3)`