Question

Jana has a sandbox that is 4 1/2 feet long, 5 feet wide, and 1/2 foot deep. How many cubic feet of sand does she need to fill the sandbox completely.

Answer 1

She needs to fill
`11(1)/(4)` ft³ in order to fill the sandbox completely.

Explanation:

length =
`l`=
`4(1)/(2)=(9)/(2)=4.5` feet

width =
`w=` 5 feet

depth =
`h=(1)/(2)=0.5` feet

Sandbox is just like a rectangular prism. In order to fill the sandbox completely, we need to determine the volume.

Thus, the formula to find the volume of a rectangular prism can be computed using the formula

`V\:=\:l\:* \:w\:* \:h`

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

`=(9)/(2)* \:\:5* \:(1)/(2)`

`=(45)/(2* \:2)`

`=11(1)/(4)` ft³

Thus, she needs to fill
`11(1)/(4)` ft³ in order to fill the sandbox completely.