Question

A Koi pond is in the shape of a right rectangular prism that is 2 1/2 yd Long, 3 yd wide, and 2 Yd high. The pond is 1/3 full of water. What is the volume of the water in the pond?

Answer 1

The volume of any rectangular prism is

`V=L* W* H`

L is the length

W is the width

H is the height

To find the volume of the water in the pond, we will use its length and its width, but we will use 1/3 of its height because the height of the water is 1/3 of the height of the pond

`\begin{gathered} L=2(1)/(2) \\ W=3 \\ H=(1)/(3)*2=(2)/(3) \end{gathered}`

Now let us substitute them in the rule above

`\begin{gathered} V=2(1)/(2)*3*(2)/(3) \\ V=(2*2+1)/(2)*3*(2)/(3) \\ V=(5)/(2)*3*(2)/(3) \end{gathered}`

3 up will cancel 3 down and 2 up will cancel 2 down, then

`\begin{gathered} V=5*1*1 \\ V=5yd^2 \end{gathered}`

The volume of the water is 5 square yards

`2(1)/(2)=(2*2+1)/(2)=(4+1)/(2)=(5)/(2)`