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Demarcus has a cereal box shaped like a rectangular prism. It measures 758 inches long, 212 inches wide, and 12 inches high. What is the volume of the cereal box?

Demarcus Has A Cereal Box Shaped Like A Rectangular Prism It Measures 758 Inches Long 212 Inches Wide And 12 Inches High What Is The Volume Of The Cereal Box class=

Sagot :

Answer:

1,928,352 in cubed

Step-by-step explanation:

The volume of the cereal box is [tex]\rm 228\dfrac{3}{4}[/tex]cubic inches.

What is the volume of rectangular prism?

The volume of rectangular prism is given by :-

[tex]\rm Volume = Length \times Width \times Height[/tex]

Demarcus has a cereal box shaped like a rectangular prism. It measures 7 5/8 inches long, 2 1/2 inches wide, and 12 inches high.

The volume of the cereal box is determined in the following steps given below.

[tex]\rm Volume = Length \times Width \times Height\\\\\rm Volume = 7\dfrac{5}{8}\times 2\dfrac{1}{2} \times 12\\\\\rm Volume = \dfrac{7\times 8+5}{8} \times \dfrac{2\times 2+1}{2} \times 12\\\\\rm Volume = \dfrac{61}{8} \times \dfrac{5}{2} \times 12\\\\Volume =\dfrac{3660}{16}\\\\Volume=228\dfrac{3}{4}[/tex]

Hence, the volume of the cereal box is [tex]\rm 228\dfrac{3}{4}[/tex]cubic inches.

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