Question

a box of cuboidal shape has dimensions 50 cm into 80 cm into 30 cm how many packets of cuboidal Shape with dimensions 10 cm into 10 cm into 6 CM can be kept in this box

Answer 1

Hey there !!

Let LBH be the dimensions of a box of Cuboidal shape ( Bigger) , and LBH be the dimensions of small Cuboidal shape boxes

Given that -

L = 50 cm ,. B. = 80cm , H = 30cm

Capacity of bigger Boxes , V = 50× 80× 30 cm³

Capacity of small boxes , V' = 10 × 10× 6



$number \: of \: packets \: = \frac{50 \times 80 \times \times 30}{10 \times 10 \times 6} \\ \\ = 5 \times 8 \times 5 \\ \\ = 40 \times 5 \\ \\ = 200$
Hence The number of packets of Cuboidal shape boxes are 200

Hope this would help you !!

Answer 2

volume of the cuboidal box I= l*b*h
=50*80*30 = 120000cm^3

volume of the packet=l*b*h
=10*10*6 =600cm^3

no. of packet that can be kept in the box=
volume of the box÷ volume of the packet
= 120000÷600
=600