Question

Jessie has a square pyramid with a base side length of 15 inches and a height of 7 inches. Carl has a square pyramid with a volume of 1890 in^3.

Use the information to choose all the correct statements below:


A.
Jessie's pyramid has a volume of 35 in^3.

B.
Jessie’s pyramid has a volume of 525 in^3.

C.
Carl’s pyramid is 48 times larger than Jessie’s.

D.
Carl’s pyramid is 3.6 times larger than Jessie’s.

E.
Carl's pyramid is 36% larger than Jessie's.


May be more than 1 correct answer

Answer 1

Answer:The correct statements are:

B. Jessie’s pyramid has a volume of 525 in^3. (Using the formula for the volume of a pyramid, V = (1/3) * base area * height, we get V = (1/3) * 15^2 * 7 = 525 in^3.)

D. Carl’s pyramid is 3.6 times larger than Jessie’s. (Using the formula for the volume of a square pyramid, V = (1/3) * base area * height, we can find the base side length of Carl's pyramid: base side length = sqrt((3*1890)/(7*15^2)) ≈ 18.46 inches. Therefore, the ratio of volumes is (18.46/15)^2 * (7/7) ≈ 3.6.)

Explanation:

Answer 2

The correct statements are:

B. Jessie’s pyramid has a volume of 525 in^3. (Using the formula for the volume of a pyramid, V = (1/3) * base area * height, we get V = (1/3) * 15^2 * 7 = 525 in^3.)

D. Carl’s pyramid is 3.6 times larger than Jessie’s. (Using the formula for the volume of a square pyramid, V = (1/3) * base area * height, we can find the base side length of Carl's pyramid: base side length = sqrt((3*1890)/(7*15^2)) ≈ 18.46 inches. Therefore, the ratio of volumes is (18.46/15)^2 * (7/7) ≈ 3.6.)