A Rectangular Pyramid Has A Base With Dimensions 5 Inches By 7 Inches. The Height Of The Pyramid Is Unknown. If The Volume Of The Pyramid Is 105 Cubic

A rectangular pyramid has a base with dimensions 5 inches by 7 inches. The height of the pyramid is unknown. If the volume of the pyramid is 105 cubic inches, what is the height of the pyramid? Explain the steps.

Volume of a Rectangular Pyramid

Answer:

The height of the pyramid is 9 inches.

Step-by-step explanation:

To find for the height of the rectangular pyramid with base whose dimensions are 5 inches and 7 inches, use the formula V = 1/3 Bh where, B is l x w such that V = 1/3Bh

         105 inches^3 = 1/3 (5 inches)(7 inches) h

         105 inches^3 = 1/3 (35 inches^2) h

         105 inches^3 = 35 inches^2h

                                          3

      3(105 inches^3 = 35 inches^2h)3

                                          3

      315 inches^3 = 35 inches^2h

         35 inches^2   35 inches^2

           9 inches    = h

Therefore, the height of the rectangular pyramid is 9 inches.

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