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
Question
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
Solution
To solve this problem, we first need to find the volume of Pyramid A. The formula for the volume of a pyramid is V = 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 7 inches * 7 inches = 49 square inches.
Step 2: Substitute the base area and the height into the volume formula. V = 1/3 * 49 in² * 6 in = 98 cubic inches.
Step 3: Now we know the volume of Pyramid A and the volume of Pyramid B. We can find out how many times bigger Pyramid B is by dividing the volume of Pyramid B by the volume of Pyramid A.
So, 3136 in³ / 98 in³ = approximately 32.
Therefore, Pyramid B is 32 times bigger than Pyramid A.
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