Pyramid A is a square pyramid with a base side length of 9 inches and a height of 10 inches. Pyramid B has a volume of 1,350 cubic inches. How many times bigger is the volume of pyramid B than pyramid A? Give your answer as a percent. Provide an explanation and proof for your answer to receive full credit.

Respuesta :

The pyramid B is 5 times the pyramid A.

What is volume?

Volume is defined as the space occupied by any object in the three-Dimensions. All three parameters are required for the volume like length, width and height of the cube or cuboid.

The volume of the Pyramid A will be calculated as:-

V = [tex]\dfrac{1}{3}B^2H[/tex]

V = [tex]\dfrac{1}{3}\times 9\times 9\times 10[/tex]

V = 270 cubic inches

Now the volume of the Pyramid B is 1350 cubic inches

The ratio of the volumes will be = [tex]\dfrac{P_B}{P_A}[/tex]

[tex]\dfrac{P_B}{P_A}=\dfrac{1340}{270} = 5[/tex]

PB = 5 PA

Therefore pyramid B is 5 times pyramid A.

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