Mathematics: 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

There are two main types of exponential functions: exponential growth and exponential decay...

Jana has a sandbox that is 4 1/2 feet long, 5 feet

abiii7460

13.02.2022

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

Step-by-step explanation:

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

width = 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.

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