Using the formula for the volume of a right rectangular prism, what is the area of the base when the volume is 50 cubic units and the height is 2?
The formula for the volume of a right rectangular prism is given by:
Volume = length × width × height
We know that the volume is 50 cubic units and the height is 2, so we can write the equation as:
50 = length × width × 2
To find the area of the base, we need to solve for either the length or the width. Let's solve for the width of the prism:
50 = length × width × 2
Divide both sides of the equation by 2:
25 = length × width
Now we have an equation relating the length and width. The area of the base, which is equal to the product of the length and width, can be found by multiplying them together:
Area of base = length × width = 25 × width
So, the area of the base when the volume is 50 cubic units and the height is 2 is 25 times the width of the prism.