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

Answer:

$200in^3$

Step-by-step 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

$\frac{2}{3} V=\frac{2}{3} 300in^3$

$\frac{2}{3} V=200in^3$

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