The volume, V, of a rectangular prism is determined using the formula V=lwh, 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 138.24 cubic inches, a height of 9.6 inches, and a length of 3.2 inches? Round to the nearest tenth.
Rearrange the volume formula to find the width: w = V ÷ (l × h). The length and height multiply to 3.2 × 9.6 = 30.72, so w = 138.24 ÷ 30.72 = 4.5 inches. The width is 4.5 inches, choice B.
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