Question

Monica is constructing a box in the shape of a right rectangular prism to hold grain on her farm. Use the formula for the volume of a rectangular prism to find the area of the base when the volume is 50 ft.³ in the height is 4 feet

Answer 1

The formula for the volume of a rectangular prism is given by:

Volume = length × width × height

We are given that the volume is 50 ft³ and the height is 4 feet. Substituting these values into the formula, we get:

50 ft³ = length × width × 4 ft

To find the area of the base, we need to find the values of length and width. To solve for these, we can rearrange the formula:

Length × width = Volume / height

Substituting the given values, we have:

Length × width = 50 ft³ / 4 ft
Length × width = 12.5 ft²

Therefore, the area of the base of the box is 12.5 ft².