Eloise's rabbit cage is shaped like a rectangular prism. The cage has a height of 28 inches and a volume of 8,680 cubic inches. Eloise bought a plastic mat for the bottom of the cage. The mat fits the bottom perfectly. What is the area of the plastic mat?

To find the area of the plastic mat that fits the bottom of the cage, we need to calculate the area of the base (or the bottom) of the rectangular prism, which is the rabbit cage. The volume of a rectangular prism can be calculated by multiplying the area of the base by the height. We know the volume and the height, so we can use this information to find the area of the base.

The formula to find the volume (V) of a rectangular prism is: V = length × width × height

Since we are looking for the area of the base, which is length × width, we can rearrange this formula to solve for the area of the base (A): A = V ÷ height

We are given that the cage has a volume (V) of 8,680 cubic inches and a height of 28 inches. We can plug these numbers into the formula to find the area of the mat. A = 8,680 ÷ 28 A = 310 inches²

So, the area of the plastic mat is 310 square inches.