AbimaelR451646 AbimaelR451646
  • 31-10-2022
  • Mathematics
contestada

find the volume of the rectangular prism3/4 yd1 3/5 yd2/3 yd

find the volume of the rectangular prism34 yd1 35 yd23 yd class=

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KathiaE15972 KathiaE15972
  • 31-10-2022

ANSWER:

4/5 cubic yards.

STEP-BY-STEP EXPLANATION:

The volume of a rectangular prism is given by the following formula:

[tex]V=l\cdot w\cdot h[/tex]

We replace in this case:

[tex]\begin{gathered} V=1\frac{3}{5}\cdot\frac{2}{3}\cdot\frac{3}{4}=\frac{8}{5}\cdot\frac{2}{3}\cdot\frac{3}{4} \\ V=\frac{8\cdot2\cdot3}{5\cdot3\cdot4}=\frac{8\cdot2}{5\cdot4}=\frac{16}{20} \\ V=\frac{4}{5}yd^3 \end{gathered}[/tex]

The volume of the rectangular prism is 4/5 cubic yards.

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