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?
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A) To find the length of each side of the base of Ira's pyramid, we need to use the given scale of 1 inch:10 feet. Since the sides of the base of the Great Pyramid in Egypt have a length of 756 feet, we can find the length of each side of Ira's pyramid by multiplying the scale by the original length.
Length of each side of Ira's pyramid = 756 feet * 1 inch/10 feet = 75.6 inches.
B) To find the area of the base of Ira's pyramid, we need to calculate the area of a square. Since the length of each side of Ira's pyramid is 75.6 inches, we can find the area by squaring this length.
Area of the base of Ira's pyramid = (75.6 inches)^2 = 5715.36 square inches.
C) The height of Ira's pyramid is not directly given, but we can use the scale to find it. The original height of the Great Pyramid in Egypt is 481 feet. Using the scale of 1 inch:10 feet, we can calculate the height of Ira's pyramid by multiplying 481 feet by the scale.
Height of Ira's pyramid = 481 feet * 1 inch/10 feet = 48.1 inches.
D) Since Ira built his model using cross sections that were cut parallel to the base, each cross section of his pyramid would also be a square.