The height of a rectangular prism is half its width The width of the prism is 1/3 of its length If the width of the prism is 3 centimeters, what is the volume?

40.5 centimeters.

Step-by-step explanation:

Given:

The width of the prism is 3 centimeters.

The width of the prism is 1/3 of its length.

The height of a rectangular prism is half its width.

To find:

Volume of a rectangular prism = ?

Solution:

Width of the prism = 3 cm

As given, height of a rectangular prism is half its width.

height of a rectangular prism =

Similarly, as given, the width of the prism is 1/3 of its length.

Width of the prism =

By multiplying both sides by 3

Thus, length of prism = 9 cm

Now, as we know:

Therefore, the volume of a rectangular prism is 40.5 centimeters.

mk./km: lm

step-by-step explanation:

,mlmlm

; mk

lk