Geometry: Pyramids
10 Questions
0 Views

Geometry: Pyramids

Created by
@AccomplishedBixbite

Podcast Beta

Play an AI-generated podcast conversation about this lesson

Questions and Answers

What is the characteristic feature of a pyramid's base?

  • It is always a circle
  • It is always a square
  • It can be any polygon (correct)
  • It is always a triangle

    • What is the formula to find the area of a triangular base?

  • length x width
  • perimeter x height
  • base x height
  • length x height / 2 (correct)

    • What is the label for the height of a pyramid?

  • B
  • P
  • h (correct)
  • s

    • What is the measurement that tells you the length of the side from the top to the edge of the base?

    <p>Slant length</p> Signup and view all the answers

    What is the formula to find the perimeter of a base?

    <p>Add up all the base edges</p> Signup and view all the answers

    What is the formula for finding the surface area of a pyramid?

    <p>Surface Area = B + (P * s)/2</p> Signup and view all the answers

    What is the base area of the pyramid in the sample problem?

    <p>562,500 sq ft</p> Signup and view all the answers

    What is the unit of measurement for volume?

    <p>ft cubed</p> Signup and view all the answers

    What is the formula for finding the volume of a pyramid?

    <p>Volume = (B * h)/3</p> Signup and view all the answers

    What is the value of the slant length in the sample problem?

    <p>650 ft</p> Signup and view all the answers

    Study Notes

    Pyramids

    • A pyramid is a 3-dimensional object with a polygonal base and sides that meet at one point at the top called an apex.
    • The pyramids of Egypt have a square base and are called square pyramids.
    • Pyramids are named after their bases, e.g., triangular pyramid if the base is a triangle.

    Measurements

    • There are four important measurements for pyramids: area of the base (B), perimeter of the base (P), height (h), and slant length (s).
    • The area of the base is calculated using the formula for the base shape (e.g., square: length × width, triangle: length × height ÷ 2).
    • The perimeter of the base is calculated by adding up the edges of the base.
    • The height measures how tall the pyramid stands.
    • The slant length is the length of the side from the top to the edge of the base.

    Surface Area

    • The formula for surface area is: Surface Area = B + (P × s)/2.
    • The formula uses the area of the base, perimeter of the base, and slant length.

    Example Problem

    • A sample problem: calculate the surface area of a square pyramid with a base side of 750 feet, height of 500 feet, and slant length of 650 feet.
    • The solution involves calculating the base area (562,500 sq ft) and perimeter (3,000 ft), then plugging the values into the formula.

    Volume

    • The formula for volume is: Volume = (B × h)/3.
    • The formula uses the area of the base and the height.
    • A sample problem: calculate the volume of the same pyramid (answer: 93,750,000 feet cubed).

    Studying That Suits You

    Use AI to generate personalized quizzes and flashcards to suit your learning preferences.

    Quiz Team

    Description

    Learn about pyramids, 3-dimensional objects with a polygonal base and sides meeting at an apex. Explore square pyramids and how they're named after their bases.

    More Like This

    Use Quizgecko on...
    Browser
    Open
    Browser
    Browser