Answer:
3 feet :)
Explanation:
To find the height of the create, you can use the formula for volume of a rectangular prism, which is V = lwh, where V is the volume, l is the length, w is the width, and h is the height. Since you are given the volume and the base area, you can solve for the height using the following steps:
Substitute the given values into the formula for volume: V = lwh = 48 cubic feet.
Substitute the given value for the base area: lw = 16 square feet.
Solve for the length by dividing the base area by the width: l = 16/w.
Substitute the expression for length from Step 3 into the formula for volume in Step 1: V = 16h/w.
Solve for the height by multiplying both sides of the equation by w/16 and simplifying: h = V/(16/w) = Vw/16.
Therefore, the height of the crate can be calculated as h = 48/16 = 3 feet.