Question

2) We are filling the storage room with packages of toilet paper. The packages measure 18

inches x 13 inches x 9 inches, the warehouse measures 12 feet by 20 feet by 8 feet. Inside
each box are 9 rolls of toilet paper. How many rolls are in this warehouse?

Answer 1

14,175

Explanation:

since measurement of packages are used in inches we will convert warehouse dimension in inches to keep the unit same.

1 foot = 12 inch

dimension of room

12 feet by 20 feet by 8 feet

dimension of room in inches

12 feet = 12*12 inches = 144 inches

20 feet = 12*20 inches = 240 inches

8 feet = 12*8 inches = 96 inches

volume of cube = length *width *height

dimension of room = 144 inches * 240 inches * 96 inches

= 3,317,760 cubic inches

volume of 1 package = 18 inches * 13 inches * 9 inches = 2,106 cubic inches.

let there be n packages in the room

volume of n package = n*volume of 1 package = 2,106*n cubic inches.

This volume of n packages should be equal to volume of warehouse

2,106*n= 3,317,760

=> n= 3,317,760/2,106 = 1,575.38

since package cannot be in fraction and value after decimal is less than 5 we will round the value to 1,575.

Thus, no of packages is 1,575

1 package has 9 rolls

1,575 package has 9*1575 rolls

thus, no of rolls in the warehouse = 14,175