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What is the volume, in cubic centimeters, of a right square pyramid
with base edges that are 64 cm long and a slant height of 40 cm

Sagot :

nuhulawal20

The volume of the right squared pyramid with the given base edges and slant height is 32768 cubic centimeters.

What is the volume of right square pyramid?

The volume of a square pyramid is expressed as;

V = (1/3)a²h

Where a is the base length and h is the height of the pyramid

Given that;

  • Base edges of the square base a = 64cm
  • Slant height s = 40cm
  • Height of the pyramid h = ?
  • Volume = ?

First, we determine the height of the pyramid using Pythagorean theorem.

c² = a² + b²

  • c = s = 40cm
  • a = half of the base length = a/2 = 64cm/2 = 32cm
  • b = h

(40cm) = (32cm)² + h²

1600cm² = 1024cm² + h²

h² = 1600cm² - 1024cm²

h² = 576cm²

h = √576cm²

h = 24cm

Now, we calculate the volume of the right square pyramid;

V = (1/3)a²h

V = (1/3) × (64cm)² × 24cm

V = (1/3) × 409664cm² × 24cm

V = 32768cm³

Therefore, the volume of the right squared pyramid with the given base edges and slant height is 32768 cubic centimeters.

Learn more about volume of pyramids here: https://brainly.com/question/27666514

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