For her science project, Jada wants to build a rectangular prism out of foam blocks. The prism should have a volume of 350 cubic inches and a height of 5 inches, What does the area of the base of the prism need to be for the given volume and height? Give one pair of possible whole-number dimensions for the base

The volume \( V \) of a rectangular prism is given by \[ V = \text{(Area of base)} \times \text{(Height)} \] Given that the volume \( V = 350 \) cubic inches and the height \( h = 5 \) inches, we set up the equation: \[ \text{(Area of base)} \times 5 = 350 \] To find the area of the base, divide both sides by \(5\): \[ \text{Area of base} = \frac{350}{5} = 70 \text{ square inches} \] Next, we need one pair of whole-number dimensions for the rectangular base. The area of the base is the product of its length and width. One possible pair of whole numbers that multiply to \(70\) is \(7\) and \(10\), since \[ 7 \times 10 = 70 \] Thus, the area of the base needs to be \(70\) square inches, and one possible pair of whole-number dimensions for the base is \(7\) inches by \(10\) inches.