15.A preschool is shopping for sand for its sandbox. Box A is 9 inches wide by 13 inches long by 15 inches high. Box B is 6 inches wide by 12 inches long by 20 inches high. Which box has more sand? Apply the formula V=B⋅h to solve. Show your work. explain the for 6th grader

Answer 1

To find the volume of each box, we use the formula V = B * h, where B is the area of the base and h is the height of the box.

For Box A:
B = 9 inches * 13 inches = 117 square inches
V = 117 square inches * 15 inches = 1755 cubic inches

For Box B:
B = 6 inches * 12 inches = 72 square inches
V = 72 square inches * 20 inches = 1440 cubic inches

Therefore, Box A has more sand because it has a volume of 1755 cubic inches, compared to Box B which has a volume of 1440 cubic inches.

Answer 2

Can you explain it in an easier way

Answer 3

Sure!

To find out which box has more sand, we need to calculate the volume of each box.

1. Start by finding the area of the base of each box:
- For Box A, we multiply the width (9 inches) by the length (13 inches) to get 117 square inches.
- For Box B, we multiply the width (6 inches) by the length (12 inches) to get 72 square inches.

2. Next, multiply the base area by the height of each box:
- For Box A, we multiply 117 square inches by the height (15 inches) to get 1755 cubic inches.
- For Box B, we multiply 72 square inches by the height (20 inches) to get 1440 cubic inches.

3. Compare the volumes:
- Box A has 1755 cubic inches of sand.
- Box B has 1440 cubic inches of sand.

Therefore, Box A has more sand than Box B because it has a larger volume.

Answer 4

Can you do it with less writing

Answer 5

To find out which box has more sand, calculate the volume using the formula V = B * h, where V is volume, B is base area, and h is height:

Box A:
B = 9 * 13 = 117 sq. in.
V = 117 * 15 = 1755 cubic in.

Box B:
B = 6 * 12 = 72 sq. in.
V = 72 * 20 = 1440 cubic in.

Box A has more sand with 1755 cubic inches compared to Box B with 1440 cubic inches.