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
The base of Pyramid A is a square with side length of 18 inches. So, the area of the base is side length squared, which is 18^2 = 324 square inches.

Step 2: Find the volume of Pyramid A
Now, we can substitute the base area and the height into the volume formula:
Volume = (1/3) * base area * height = (1/3) * 324 * 9 = 972 cubic inches.

Step 3: Compare the volume of Pyramid B to Pyramid A
Pyramid B has a volume of 3,136 cubic inches. To find out how many times bigger Pyramid B is than Pyramid A, we divide the volume of Pyramid B by the volume of Pyramid A:
3136 / 972 = approximately 3.23.

So, Pyramid B is approximately 3.23 times bigger than Pyramid A.

Step 4: Convert this ratio to a percentage
To convert the ratio to a percentage, we subtract 1 from the ratio and then multiply by 100:
(3.23 - 1) * 100 = 223%.

So, Pyramid B is approximately 223% bigger than Pyramid A.

Question

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
The base of Pyramid A is a square with side length of 18 inches. So, the area of the base is side length squared, which is 18^2 = 324 square inches.

Step 2: Find the volume of Pyramid A
Now, we can substitute the base area and the height into the volume formula: 
Volume = (1/3) * base area * height = (1/3) * 324 * 9 = 972 cubic inches.

Step 3: Compare the volume of Pyramid B to Pyramid A
Pyramid B has a volume of 3,136 cubic inches. To find out how many times bigger Pyramid B is than Pyramid A, we divide the volume of Pyramid B by the volume of Pyramid A: 
3136 / 972 = approximately 3.23.

So, Pyramid B is approximately 3.23 times bigger than Pyramid A.

Step 4: Convert this ratio to a percentage
To convert the ratio to a percentage, we subtract 1 from the ratio and then multiply by 100: 
(3.23 - 1) * 100 = 223%.

So, Pyramid B is approximately 223% bigger than Pyramid A.

Knowee AI · Accepted Answer

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
The base of Pyramid A is a square with side length of 18 inches. So, the area of the base is side length squared, which is 18^2 = 324 square inches.

Step 2: Find the volume of Pyramid A
Now, we can substitute the base area and the height into the volume formula: 
Volume = (1/3) * base area * height = (1/3) * 324 * 9 = 972 cubic inches.

Step 3: Compare the volume of Pyramid B to Pyramid A
Pyramid B has a volume of 3,136 cubic inches. To find out how many times bigger Pyramid B is than Pyramid A, we divide the volume of Pyramid B by the volume of Pyramid A: 
3136 / 972 = approximately 3.23.

So, Pyramid B is approximately 3.23 times bigger than Pyramid A.

Step 4: Convert this ratio to a percentage
To convert the ratio to a percentage, we subtract 1 from the ratio and then multiply by 100: 
(3.23 - 1) * 100 = 223%.

So, Pyramid B is approximately 223% bigger than Pyramid A.

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