Question

The area of the base of a rectangular prism is 36 cm2. The height of the prism is 3 5 6 cm. What is the volume of the prism?

Answer 1

108 cm³, 138 cm³, 180 cm³, 216 cm³

Explanation:

I'm not if you meant to calculate three possible volumes for the prism, for heights of 3, 5 and 6 cm or if it was meant as 3 5/6... so I prepared you all the answers below.

Normally, the volume of a prism is calculated with Length x Width x Height. The (Length x Width) part is form the base of the prism. Since we already have that base measurement, we'll use the formula: Base x Height

So, if you meant 3 different calculations (for heights 3, 5 and 6 cm):

V = Base x Height

For a height of 3 cm, we have: V = 36 x 3 = 108 cm³

For a height of 5 cm, we have: V = 36 x 5 = 180 cm³

For a height of 6 cm, we have: V = 36 x 6 = 216 cm³

If however, you meant a single measure with 3 5/6:

For a height of 3 5/6 cm (23/6), we have: V = 36 x 23/6 = 6 * 23= 138 cm³

Answer 2

138 cm³

Explanation:

Given in the question that base of the rectangular prism = 36 cm²

Height of the prism = 3 5/6 cm = 23/6

We know that the volume of a rectangular prism with base area B and height H is given by

Volume = B(H)

Plug values in the formula above to find the volume of the prism

Volume = 36(23/6)

= 6(23)

= 138 cm³

So the volume of prism = 138 cm³