Answered

At Westonci.ca, we make it easy for you to get the answers you need from a community of knowledgeable individuals. Explore in-depth answers to your questions from a knowledgeable community of experts across different fields. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.


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

#SPJ1

Thanks for using our service. We aim to provide the most accurate answers for all your queries. Visit us again for more insights. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.