Answered

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the volume of a recrangular prism is 72 centimeters.the prism is 2 centimeters wide and 4 centimeters high. what is the length of the prism

Sagot :

The volume of a rectangular prism is given by:

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

We know that the volume is 72 cub cm, the width is 2 cm and the height is 4 cm. Plugging this value in the equation we have:

[tex]72=2\cdot l\cdot4[/tex]

Solving the equation for l we have:

[tex]\begin{gathered} 72=2\cdot l\cdot4 \\ 72=8l \\ l=\frac{72}{8} \\ l=9 \end{gathered}[/tex]

Therefore the lenght of the prism is 9 cm.

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