Answer :
Final answer:
To determine the storage space needed for 27 cartons, each with dimensions of 15 inches by 30 inches by 22 inches, multiply the volume of one carton (9900 cubic inches) by the number of cartons, resulting in 267,300 cubic inches of required storage space.
Explanation:
To calculate the total storage space needed for 27 cartons, we need to first find the volume of a single carton and then multiply by the number of cartons. The volume of a single carton is given by the product of its length, width, and height.
The volume V of a single carton is:
V = length × width × height
V = 15 in × 30 in × 22 in
V = 9900 in³ (cubic inches)
Now, we multiply the volume of a single carton by the number of cartons:
Total Volume TV of 27 cartons is:
TV = 9900 in³ × 27
TV = 267,300 in³
Therefore, we need 267,300 cubic inches of storage space for 27 cartons.