Pyramid A is a square pyramid with a base side length of 12 inches and a height of 8 inches. Pyramid B has a volume of 20,736 in3. How many times bigger is the volume of pyramid B than pyramid A? (5 points)Group of answer choices15325475
Question
Pyramid A is a square pyramid with a base side length of 12 inches and a height of 8 inches. Pyramid B has a volume of 20,736 in3. How many times bigger is the volume of pyramid B than pyramid A? (5 points)Group of answer choices15325475
Solution
To solve this problem, we first need to find the volume of Pyramid A. The formula for the volume of a pyramid is (1/3) * base area * height.
Step 1: Find the base area of Pyramid A. Since it's a square pyramid, the base is a square, so the area is side length squared. That's 12 inches * 12 inches = 144 square inches.
Step 2: Find the volume of Pyramid A. Using the formula, that's (1/3) * 144 square inches * 8 inches = 384 cubic inches.
Step 3: Find how many times bigger Pyramid B is than Pyramid A. Pyramid B's volume is 20,736 cubic inches. So, divide Pyramid B's volume by Pyramid A's volume to find the ratio: 20,736 / 384 = 54.
So, Pyramid B is 54 times bigger than Pyramid A.
Similar Questions
Pyramid A is a square pyramid with a base side length of 7 inches and a height of 6 inches. Pyramid B has a volume of 3,136 in3. How many times bigger is the volume of pyramid B than pyramid A?Group of answer choices15325475
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.
Find the volume of a pyramid with a square base, where the perimeter of the base is 12, point, 8, m12.8 m and the height of the pyramid is 12, point, 5, m12.5 m. Round your answer to the nearest tenth of a cubic meter.
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
Find the volume of a pyramid with a square base, where the side length of the base is 4, point, 7, in4.7 in and the height of the pyramid is 4, point, 5, in4.5 in. Round your answer to the nearest tenth of a cubic inch.
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.