Question

jacob received a deck of cards for his birthday. the length, width, and height of the card box are shown below. what is the volume of the card box? a. ( 5\frac{5}{6}) cu in b. ( 6\frac{1}{6}) cu in c. ( 8\frac{3}{4}) cu in

Explanation:

Step1: Convert mixed numbers to improper fractions

The formula for the volume of a rectangular prism is \(V = l\times w\times h\).
Length \(l = 2\frac{1}{2}=\frac{2\times2 + 1}{2}=\frac{5}{2}\), width \(w=3\frac{1}{2}=\frac{3\times2+ 1}{2}=\frac{7}{2}\), height \(h=\frac{2}{3}\).

Step2: Calculate the volume

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Answer:

A. \(5\frac{5}{6}\) cu in