The volume, v , of a rectangular prism is determined using the formula V is equal to l w h , where l is the length, w is the width, and h is the height of the prism. Using this formula, what is the width of a rectangular prism that has a volume of 138 point 2 4 cubic inches, a height of 9 point 6 inches, and a length of 3 point 2 inches? Round to the nearest tenth.
Use V = lwh and solve for width: w = V ÷ (lh). The length times the height is 3.2 × 9.6 = 30.72, so w = 138.24 ÷ 30.72 = 4.5 inches. Therefore, the width is 4.5 inches, choice D.
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