Monica is constructing a box in the shape of a right rectangulare 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 cubic feet and the height is 4 feet.

Question

47.5 ft squared
200 ft squared
6.25 ft squared
12.5 ft squared

Answer 1

The formula for the volume of a rectangular prism is V = lwh, where V is the volume, l is the length, w is the width, and h is the height.

In this case, the volume is given as 50 cubic feet and the height is given as 4 feet. We can plug these values into the formula and solve for the area of the base.

50 = lw(4)

Dividing both sides of the equation by 4, we have:

12.5 = lw

We can see that the area of the base is lw, so the area of the base is 12.5 square feet.

Therefore, the correct answer is 12.5 ft squared.