Question

I have a vase that is shaped like a rectangular prism. The height is 10 inches. The length of the base is 6 inches. The width of the base is 5 inches. What is 2/3 of the volume of the vase? If necessary, round to the nearest whole number.

Answer 1

`200in^3`

Explanation:

To solve this, we are using the formula for the volume of a rectangular prism:

`V=whl`

where

`w` is the width of the base

`l` is the length of the base

`h` is the height of the prism

We know from our problem that the height is 10 inches. The length of the base is 6 inches. The width of the base is 5 inches.

Replacing values

`V=(5in)(10in)(6in)`

`V=300in^3`

Now, to find 2/3 of that volume, we just need to multiply it by 2/3

`(2)/(3) V=(2)/(3) 300in^3`

`(2)/(3) V=200in^3`

We can conclude that 2/3 of the volume of the vase is 200 cubic inches.