Ira built a model of the great pyramid in Egypt for a school project. The great pyramid had a square base with sides of length 756feet the height of the great pyramid is 481 feet Ira made his model pyramid using a scale of 1 inch :20 feet
A.what is the length of each side of the base of 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 tha were cut parallel to the base.what shape was each cross section?
1. The length of the base of the pyramid is 38 inches.
2. The area of the base is 1,428.84. If rounded to the hundredths place, it's 1,400.
3. The height is 481.
4. The base is a square.
To find the answers to these questions, we can use the given measurements and the scale ratio provided. Let's break it down step by step:
A. The scale given is 1 inch:20 feet. We know the length of each side of the base of the original pyramid is 756 feet. To find the length of each side of Ira's pyramid, we have to convert the scale ratio to the same units as the original pyramid. Since 1 inch is equivalent to 20 feet, we can calculate:
Length of each side of Ira's pyramid = Length of each side of original pyramid / Scale ratio
= 756 feet / 20
= 37.8 feet
So, the length of each side of Ira's pyramid is 37.8 feet.
B. The base of Ira's pyramid is a square, so to find the area of the base, we can use the formula: Area = (Side length)^2.
Area of the base of Ira's pyramid = (Length of each side of Ira's pyramid)^2
= (37.8 feet)^2
= 1428.84 square feet
Therefore, the area of the base of Ira's pyramid is 1428.84 square feet.
C. To find the height of Ira's pyramid, we need to use the same scale ratio. The height of the original pyramid is given as 481 feet.
Height of Ira's pyramid = Height of original pyramid / Scale ratio
= 481 feet / 20
= 24.05 feet
Hence, the height of Ira's pyramid is 24.05 feet.
D. Ira built his model using cross sections that were cut parallel to the base. In a pyramid, regardless of scale, the cross section will always be the same shape as the base. Therefore, each cross section of Ira's pyramid is also a square.
To summarize:
A. The length of each side of the base of Ira's pyramid is 37.8 feet.
B. The area of the base of Ira's pyramid is 1428.84 square feet.
C. The height of Ira's pyramid is 24.05 feet.
D. Each cross section of Ira's pyramid is a square.
divide all lengths by 20 and use in instead of ft
divide all areas by 20^2, and use in^2 instead of ft^2.
The base is square. Any sections parallel to the base will naturally also be square.