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 cubic feet and the height is 4 feet.
a. 200 ft.^2
b. 6.25 ft.^2
c. 37.5 ft.^2
d. 12.5 ft.2
To find the area of the base, we can rearrange the formula for the volume of a rectangular prism to solve for the area of the base. The formula for the volume of a rectangular prism is given by:
Volume = length * width * height
Given that the volume is 50 cubic feet and the height is 4 feet, we can substitute these values into the formula:
50 = length * width * 4
Now, we can rearrange the formula to solve for the area of the base by dividing both sides by the height:
length * width = 50 / 4
Simplifying, we get:
length * width = 12.5
Therefore, the area of the base is 12.5 square feet. So, the correct answer is:
d. 12.5 ft^2