Final answer:
To find the height of a prism with a given volume of 350 cubic inches and a width of 5 inches and a length of 7 inches, divide the volume by the product of the length and the width, resulting in a height of 10 inches.
Step-by-step explanation:
The volume of a prism is calculated by the formula V = l × w × h, where V is the volume, l is the length, w is the width, and h is the height of the prism. To find the height h when the volume V is 350 inches cubed, and the width w is 5 inches, and the length l is 7 inches, we rearrange the formula and solve for h:
V = l × w × h → h = ÷ (l × w)
Substituting the given values gives:
350 = 7 × 5 × h → h = 350 ÷ (7 × 5) = 350 ÷ 35 = 10 inches
Thus, the height h of the prism is 10 inches.