Question

What is the volume, in cubic centimeters, of a right square pyramid

Answer 1

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: brainly.com/question/27666514

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