A square pyramid has a base with an area of 20 square meters, and its lateral faces have a slant height of x meters. Sydney is constructing a second square pyramid with the same size base, but the lateral faces of her pyramid have a slant height twice as long, 2x. Which statement best describes how the surface area of Sydney’s pyramid compares to the surface area of the original pyramid? Sydney’s pyramid will have the same surface area because the One-half in the expression for the area of the triangular faces will make up for the slant height being doubled. Sydney’s pyramid will have the same surface area because the slant height is not used when finding surface area. Sydney’s pyramid will have a surface area that is exactly double the original pyramid’s because the slant height is used when finding the area of every lateral face. Sydney’s pyramid will have a surface area that is greater than the original pyramid’s but not double the area because the slant height is not used when finding the area of the base.
Question
A square pyramid has a base with an area of 20 square meters, and its lateral faces have a slant height of x meters. Sydney is constructing a second square pyramid with the same size base, but the lateral faces of her pyramid have a slant height twice as long, 2x. Which statement best describes how the surface area of Sydney’s pyramid compares to the surface area of the original pyramid? Sydney’s pyramid will have the same surface area because the One-half in the expression for the area of the triangular faces will make up for the slant height being doubled. Sydney’s pyramid will have the same surface area because the slant height is not used when finding surface area. Sydney’s pyramid will have a surface area that is exactly double the original pyramid’s because the slant height is used when finding the area of every lateral face. Sydney’s pyramid will have a surface area that is greater than the original pyramid’s but not double the area because the slant height is not used when finding the area of the base.
Solution
Sydney’s pyramid will have a surface area that is greater than the original pyramid’s but not double the area because the slant height is not used when finding the area of the base.
Here's why
Similar Questions
If the slant height of a right pyramid with square base is 4 meter and the total slant surface of the pyramid is 12 square meter, then what is the ratio of total slant surface and area of the base?Choices:- 16:3 24:3 9:7 12:3
Which formulas can be used to find the surface area of a regular pyramid with a square base where the perimeter of the base is equal to p, s is the slant height, BA is the base area, and LA is the lateral area?Check all that apply.A.SA = BA LAB.SA = BA + LAC.SA = BA + psD.SA = BA - LAE.SA = BA + ps
The Surface Area of a square pyramid is 3600 ft2. The slant height is 80 feet and the base is 20 feet. At most how many 1 foot cubic blocks can be stuffed in the pyramid?(*Some of the blocks might have to be cut up to fit into crevices*)
Kyle is creating a sizeable square pyramid out of aluminum. He needs to know how many square feet of aluminum to buy at the hardware store.The pyramid has a square base with sides 3 feet long and a slant height of 5 feet.The area of the base is Blank 1 Question 9 ft2, and the total surface area is Blank 2 Question 9 ft 2.
Pyramid A is a square pyramid with a base side length of 18 inches and a height of 9 inches. Pyramid B has a volume of 3,136 cubic inches. How many times bigger is the volume of pyramid B than pyramid A? Give your answer as a percentage. Provide an explanation and proof for your answer to receive full credit.
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.