For her science project, Jada wants to build a rectangular prism out of foam blocks. The prism should have a volume 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 bas

To find the area of the base of the rectangular prism, we can use the formula for the volume of a rectangular prism: \[ V = A \times h \] where: - \( V \) is the volume, - \( A \) is the area of the base, - \( h \) is the height. Given: - \( V = 350 \) cubic inches, - \( h = 5 \) inches. We can rearrange the formula to solve for the area \( A \): \[ A = \frac{V}{h} \] Now, substituting the known values: \[ A = \frac{350}{5} \] Let's calculate this value. Calculate the value by following steps: - step0: Calculate: \(\frac{350}{5}\) - step1: Reduce the numbers: \(\frac{70}{1}\) - step2: Calculate: \(70\) The area of the base \( A \) is: \[ A = 70 \text{ square inches} \] Now, we need to find one pair of possible whole-number dimensions for the base. Since the area of the base is given by the product of its length \( l \) and width \( w \): \[ A = l \times w \] We can choose pairs of whole numbers that multiply to 70. One possible pair is: - \( l = 10 \) inches - \( w = 7 \) inches Thus, one pair of possible whole-number dimensions for the base of the prism is \( 10 \) inches by \( 7 \) inches.