Question

Find the volume of a big carton completely packed with 12 cuboidal boxes, each measuring 8 cm x 15 cm x 22 cm.


Please give the full explanation

Answer 1

Answer:

31680cm^3

Step-by-step explanation:

Volume of one cuboidal box=8cm x 15cm x 22cm (Volume-length x width x height) =2640cm^3

Hence, volume of the big carton=2640^3 x 12 boxes

=31680

Answer 2

Answer:

The volume of a big carton is equal to 31680 cm³ which is completely packed with 12 cuboidal boxes.

Step-by-step explanation:

Given, the volume of one is cartoon is equal to volume of 12 cuboidal boxes.

Given, the dimensions of one cuboidal box is  8 cm x 15 cm x 22 cm.

The volume V of a Cuboid is given by:

V = l × b × h,

Where l is the length, b is the breadth and h is height of the cuboid.

Therefore the volume of cuboidal box =  8 cm x 15 cm x 22 cm

                                                                = 2640 cm³

The volume of the 12 cuboidal boxes = 12 × 2640

                                                              = 31680 cm³

As given in the question,

Volume of a big carton =  Volume of the 12 cuboidal boxes

Volume of a big carton = 31680 cm³

Therefore, the Volume of a big carton  is equal to 31680 cm³.

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