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?

height = 6 cm
8 cm
9 cm
12 cm
A 216 cm
B. 288 cm
534 cm
648 cm
E.
864 cm

Answer 1

Answer: the answer would be D

Explanation:

Answer 2

Volume of the prism is 648
`cm^3`

Explanation:

Given:

Base of the prism is rectangular in shape

Height of the prism = 6 cm

Base length of the prism= 12 cm

Base width of the prism= 9 cm

To Find:

Volume of the prism=?

Solution:

Volume of the prism ,

V= Base area of the prism x Height of the prism

Here in the figure base of the prism is in Rectangular form

So the base area of the prism = area of the rectangle

We know that the area of the rectangle is = length x height

Substituting the values

Area of the Rectangle = 12 x 9

Area of the Rectangle = 108

So the are of the base of the prism is 108
`cm^2`

Now

Volume of the prism,

V= 108 X 6

V= 648
`cm^3`