Question

Find the volume of the prism.

a)152.4cm^3
b)158.3cm^3
c)163.9cm^3
d)167.1cm^3

Answer 1

Final answer is choice a)
`Volume = 152.4 \, cm^3`

Explanation:

Given that length of the prism = 12 cm

Given that width of the prism = 5 cm

Given that height of the prism = 2.54 cm

Then volume of the rectangular prism is given by formula:

`Volume = (Length)(Width)(Height)`

`Volume = (12 cm)(5 cm)(2.54 cm)`

`Volume = 152.4 \, cm^3`

Hence final answer is choice a)
`Volume = 152.4 \, cm^3`

Answer 2

Answer: option a

Explanation:

You can calculate the volume of a prism with this formula:

`V_(prism)=lwh`

Where l is the lenght, w is the width and h is the height.

You can identify from the figure that:

`l=12cm\\w=5cm\\h=2.54cm`

Then, substituting these values into the formula, you get that the volume of this prism is:

`V_(prism)=(12cm)(5cm)(2.54cm)=152.4cm^3`