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.(1 point)
Responses
12.5 ft.2
12.5 feet squared
6.25 ft.2
6.25 feet squared
37.5 ft.2
37.5 feet squared
200 ft.2
To find the area of the base, we can rearrange the formula for the volume of a rectangular prism.
The formula for the volume of a rectangular prism is given as:
Volume = length * width * height
In this case, we are given that the volume is 50 cubic feet and the height is 4 feet. Let's say the length is L and the width is W.
So, the equation becomes:
50 = L * W * 4
To find the area of the base, we need to find the length and width. We can solve for the length or width by rearranging the equation. Let's solve for the length:
L = 50/(W * 4)
Now, we have the formula for the area of the base:
Area = length * width
Substituting the value of L from the equation we found:
Area = (50/(W * 4)) * W
Simplifying the equation:
Area = 50/4
Therefore, the area of the base is 12.5 ft².