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Sagot :
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.
Learn more about prism here;
https://brainly.com/question/3244285
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