Two rectangular prisms, prism A and prism B, have the same height. The volume of prism A is half the volume of prism B. The base of prism A has an area of 40 square inches. What is the area of the base of prism B?
Let's call the area of the base of prism B "x".
We know that the height of both prisms is the same, so we don't need to worry about that.
The volume of a rectangular prism is found by multiplying the area of the base by the height.
So, the volume of prism A is:
40 (area of base) x h (height) = 40h
And we know that the volume of prism B is twice the volume of prism A, so:
2(40h) = xh
Simplifying this equation, we get:
80h = xh
Dividing both sides by h, we get:
80 = x
So the area of the base of prism B is 80 square inches.