Knowee
Questions
Features
Study Tools

Find the volume of a pyramid with a square base, where the perimeter of the base is 18, point, 3, in18.3 in and the height of the pyramid is 15, point, 7, in15.7 in. Round your answer to the nearest tenth of a cubic inch.

Question

Find the volume of a pyramid with a square base, where the perimeter of the base is 18, point, 3, in18.3 in and the height of the pyramid is 15, point, 7, in15.7 in. Round your answer to the nearest tenth of a cubic inch.

🧐 Not the exact question you are looking for?Go ask a question

Solution 1

To find the volume of a pyramid, you can use the formula: V = 1/3 * base area * height.

Step 1: Find the length of one side of the base. The base is a square and the perimeter of a square is given by 4 * side length. So, the side length is the perimeter divided by 4. 18.3 in / 4 = 4.575 in

Step 2: Find the area of the base. The area of a square is side length squared. (4.575 in)^2 = 20.930625 in^2

Step 3: Find the volume of the pyramid. Substitute the base area and the height into the volume formula. V = 1/3 * 20.930625 in^2 * 15.7 in = 109.676171875 in^3

Step 4: Round to the nearest tenth. The volume of the pyramid is approximately 109.7 in^3.

This problem has been solved

Solution 2

To find the volume of a pyramid, you can use the formula: V = 1/3 * base area * height.

Step 1: Find the length of one side of the base. The base is a square and the perimeter of a square is given by 4 * side length. So, the side length is the perimeter divided by 4. 18.3 in / 4 = 4.575 in

Step 2: Find the area of the base. The area of a square is side length squared. (4.575 in)^2 = 20.930625 in^2

Step 3: Substitute the base area and the height into the volume formula and solve. V = 1/3 * 20.930625 in^2 * 15.7 in = 109.572890625 in^3

Step 4: Round to the nearest tenth. The volume of the pyramid is approximately 109.6 in^3.

This problem has been solved

Similar Questions

Find the volume of a pyramid with a square base, where the area of the base is 6, point, 8, m, squared6.8 m 2 and the height of the pyramid is 8, point, 6, m8.6 m. Round your answer to the nearest tenth of a cubic meter.

Find the volume of a pyramid with a square base, where the side length of the base is 12, ft12 ft and the height of the pyramid is 7, point, 1, ft7.1 ft. Round your answer to the nearest tenth of a cubic foot.

The length of the base edge of a square pyramid is 6 ft, and the height of the pyramid is 20 ft. What is the volume of the pyramid? 720 ft3 360 ft3 240 ft3 120 ft3

A regular pyramid has a square base. The volume of the pyramid is 600 and its height is 17. If the vertex of the pyramid is V and the base is the square ABCD, the length of VA is approximately ______.18.534.524.529.5

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.

1/3

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.