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.
Question
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.
Solution
The area of the base of the pyramid is calculated by squaring the length of one side. Since the side length is 3 feet, the area of the base (Blank 1) is 3*3 = 9 square feet.
The total surface area of a pyramid is calculated by adding the area of the base to the area of the four triangular faces. The area of each triangular face is 1/2 * base * slant height. Since the base of each triangle is 3 feet and the slant height is 5 feet, the area of each triangle is 1/2 * 3 * 5 = 7.5 square feet. Since there are four triangles, the total area of the triangles is 4 * 7.5 = 30 square feet.
Therefore, the total surface area of the pyramid (Blank 2) is the area of the base plus the area of the triangles, which is 9 + 30 = 39 square feet.
Similar Questions
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*)
Find the volume of a pyramid with a square base, where the area of the base is 12, point, 4, ft, squared12.4 ft 2 and the height of the pyramid is 5, ft5 ft. Round your answer to the nearest tenth of a cubic foot.
Find the volume of a pyramid with a square base, where the area of the base is 8, point, 3, m, squared8.3 m 2 and the height of the pyramid is 9, point, 8, m9.8 m. Round your answer to the nearest tenth of a cubic meter.
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
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.
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.