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Pyramid A has a quadrilateral base, a height of 4 units, and a volume of 20 cubic units. Pyramid B has the same base area, but its height is 12 units.

what is the volume of Pyramid B?

Respuesta :

Answer:

60 cubic units

Step-by-step explanation:

i got it correct on khan. all credit goes to ddynely. thank you.

vijayhalder031

The volume of Pyramid B will be 60 cubic unit.

Pyramid

  • In geometry, a pyramid  is a formed by connecting a polygonal base and a point

How to solve this problem?

The steps are as follow:

  • Height of Pyramid A and Pyramid B are given which is as hₐ = 4 units and hₓ = 12 units respectively
  • Sₐ and Sₓ are base of Pyramid A and Pyramid B respectively which are equal i.e Sₐ = Sₓ
  • Volume of pyramid is given by 1/3(Sh); S = base of pyramid and h = height of pyramid
  • Given

hₐ = 4 units

hₓ = 12 units = 3hₐ

Sₐ = Sₓ

Volume of pyramid A = 1/3(Sₐhₐ) = 20 cubic units

Volume of pyramid B = 1/3(Sₓhₓ) = 1/3(Sₐ*3hₐ) = 3*Vₐ = 3*20 = 60cubic units

So the volume of Pyramid B will be 60 cubic unit.

Learn more about Pyramid here:

https://brainly.com/question/10042135

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