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 )
To find the area of the base of the rectangular prism, we need to use the formula for volume of a rectangular prism:
Volume = length × width × height
In this case, the volume is given as 50 cubic feet and the height is 4 feet. Let's assume 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 can solve for either L or W and substitute it in the formula for area (A = length × width). Let's solve for L:
L = 50 / (W × 4)
Now, substitute this expression for L in the formula for area:
A = (50 / (W × 4)) × W
Simplifying further:
A = 50W / 4
A = 12.5W
Therefore, the area of the base is 12.5W square feet.