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. ( 6 \frac { 2 } { 3 } )cu in
b. ( 5 \frac { 5 } { 6 } )cu in
c. ( 6 \frac { 1 } { 6 } )cu in
d. ( 8 \frac { 3 } { 4 } )cu in

Explanation:

Step1: Convert mixed numbers to improper fractions

The formula for the volume of a rectangular prism is \(V = l\times w\times h\).
Convert \(2\frac{1}{2}=\frac{2\times2 + 1}{2}=\frac{5}{2}\), \(3\frac{1}{2}=\frac{3\times2+1}{2}=\frac{7}{2}\), and \(\frac{2}{3}\) remains as it is.

Step2: Calculate the volume

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Answer:

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