[Verified] Farmer Dave builds a crate to hold vegetables. The volume of the crate is 48 cubic feet. The base area of the crate is 16 square feet. What is the height of the crate?

Finding the Volume of the Crate

The volume of the crate is given as 48 cubic feet.

Base Area of the Crate

The base area of the crate is given as 16 square feet.

Calculating the Height of the Crate

The volume �V of a rectangular prism (or crate, in this case) is given by the formula:

�=Base Area×HeightV=Base Area×Height

Given the volume �V and the base area, we can rearrange the formula to solve for the height ℎh:

ℎ=�Base Areah=Base AreaV

Substituting in the given values:

ℎ=48 cubic feet16 square feeth=16 square feet48 cubic feet​

Let’s go ahead and calculate the height of the crate using this formula.

Result:

The height of the crate is 3.03.0 feet.

Therefore, Farmer Dave’s crate, which has a volume of 4848 cubic feet and a base area of 1616 square feet, stands 3.03.0 feet tall.

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