Ira built a model of the Great Pyramid in Egypt for a school project. The Great Pyramid has a square base with sides of length 756 feet. The height of the Great Pyramid is 481 feet. Ira made his model pyramid using a scale of 1 inch:10 feet.
A)What is the legth of each side of the base or Ira's pyramid?
B)What is the area of the base of Ira's pyramid?
C)What is the height of Ira's pyramid?
D)Ira built his model using cross sections that were cut parallel to the base. What shape was each cross section?
THANK YOU!
A. 756/10 = ______ inches
B. Square the number of inches you found.
C. D. What do you think?
A) To find the length of each side of the base of Ira's pyramid, we can use the scale given. The scale is 1 inch:10 feet. Since the base of the Great Pyramid is 756 feet, we can divide it by 10.
756 feet / 10 = 75.6 feet
So, each side of the base of Ira's pyramid is 75.6 feet.
B) To find the area of the base of Ira's pyramid, we need to find the area of a square. The formula for the area of a square is side length squared. In this case, each side of the base is 75.6 feet.
Area = (75.6 feet)² = 5709.36 square feet
Therefore, the area of the base of Ira's pyramid is 5709.36 square feet.
C) The height of Ira's pyramid can be found using the same scale. Since the height of the Great Pyramid is 481 feet, we can divide it by 10.
481 feet / 10 = 48.1 feet
So, the height of Ira's pyramid is 48.1 feet.
D) Cross sections that are cut parallel to the base of a pyramid are called "horizontal cross sections." These cross sections will be the same shape as the base, which in this case is a square. Therefore, each cross section of Ira's pyramid would be a square.