How many (15in by 15in by 25in) boxes will fill a container (10ft by 15ft by 50ft) box provided 135cubit ft. of space isalready occupied in the container?O aOьImpossible to solve the questionApprox. 1.33 boxesExactly 1133 boxesApprox. 2266 boxesОсd



Answer :

The volume of the box with dimensions 15 in by 15 in by 25 in is: 15*15*25 = 5625 cubic inches

1 ft is equivalent to 12 inches, then:

• 10 ft = 10*12 = 120 in

,

• 15 ft = 15*12 = 180 in

,

• 50 ft = 50*12 = 600 in

The volume of the container is 120*180*600 = 12960000 cubic inches

1 cubic foot is equivalent to 1728 cubic inches, then:

135 cubit ft = 135*1728 = 233280 cubic inches

Volume available in the container: 12960000 - 233280 = 12726720 cubic inches

Dividing the total available volume by the volume occupied by each box we get the number of boxes that fill the container.

12726720/5625 ≈ 2262 boxes