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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