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

Answer:

She needs to fill $11\frac{1}{4}$ ft³ in order to fill the sandbox completely.

Step-by-step explanation:

length = $l$= $4\frac{1}{2}=\frac{9}{2}=4.5$  feet

width = $w=$ 5 feet

depth = $h=\frac{1}{2}=0.5$ 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

$V\:=\:l\:\times \:w\:\times \:h$

$V=4\frac{1}{2}\times 5\times \frac{1}{2}$

    $=\frac{9}{2}\times \:\:5\times \:\frac{1}{2}$

     $=\frac{45}{2\times \:2}$

     $=11\frac{1}{4}$ ft³

Thus, she needs to fill $11\frac{1}{4}$ ft³ in order to fill the sandbox completely.