Greetings my son needs help with this problem.A rectangular prism has a volume of 840 cubic inches. The height of the prism is 6 inches and the width is 10 inches. Find the length of the prism and explain how you found it.Can somebody help?

Respuesta :

To find the volume of a rectangular prism, you have to multiply its length, width, and height following the formula:

[tex]V=l*w*h[/tex]

If you know the volume, height, and width of the prism, you can use this formula to calculate the length.

- Write the formula in terms of the length (l), to do so you have to divide both sides by the product of w and h:

[tex]\begin{gathered} V=l*w*h \\ \frac{V}{w*h}=\frac{l*w*h}{w*h} \\ \frac{V}{w*h}=\frac{l*\bcancel{w*h }}{\bcancel{w*h }} \\ \frac{V}{w*h}=l \end{gathered}[/tex]

The volume of the rectangular prism is V=840 inĀ³, the height is h=6in, and the width is w=10in, use these values to find the length of the prism:

[tex]\begin{gathered} l=\frac{V}{w*h} \\ l=\frac{840}{10*6} \\ l=\frac{840}{60} \\ l=14in \end{gathered}[/tex]

The length of the prism is 14 inches.

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