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 rectanglar prism to find the area base when volume is 50 cubic feet and height is 4 feet
The formula for the volume of a rectangular prism is given by 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 V is given as 50 cubic feet and the height h is given as 4 feet. Plugging in these values into the formula, we have:
50 = lw(4)
We can solve this equation for the area of the base by dividing both sides by 4:
50/4 = lw
12.5 = lw
So, the area of the base is 12.5 square feet.
To find the area of the base of the right rectangular prism, we need to rearrange the formula for the volume of a rectangular prism. The formula for the volume of a rectangular prism is given by:
Volume = Length x Width x Height
In this case, the volume is given as 50 cubic feet and the height is given as 4 feet. Let's assume the length is "L" and the width is "W". So, we have:
50 = L x W x 4
To find the area of the base, we need to solve for either the length or the width. Since we don't have enough information to solve for both, let's solve for the length in terms of the width.
Divide both sides of the equation by 4:
50/4 = (L x W x 4)/4
12.5 = L x W
Now, we have an equation relating the length (L) and width (W). The area of the base is given by multiplying the length and width:
Area of Base = Length x Width
Substituting the equation we found earlier, we get:
Area of Base = (12.5) x W
So, the area of the base of the right rectangular prism is 12.5W square feet.