Some high school students made a rectangular prism-shaped box, shown in the figure, to bury in the ground as a time capsule at their school. They want to know how much space will be available. Find the volume of the rectangular prism.Question options:A) 348 cm3B) 432 cm3C) 729 cm3D) 512 cm3

Some high school students made a rectangular prismshaped box shown in the figure to bury in the ground as a time capsule at their school They want to know how m class=

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SOLUTION

The rectangular prism is the same shape as a cuboid. The volume of a cuboid is defined as

[tex]\text{Volume of cuboid = length }\times breadth\times height\text{ }[/tex]

Hence the volume of the prism is

[tex]\begin{gathered} \text{Volume of prism = 6 }\times8\times9 \\ =432cm^3 \end{gathered}[/tex]

Hence the answer is option B.

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