The internal dimensions of a box are 1.2 m,80 cm and 50 cm.How many cubes each of edge 7 cm can be packed in the box with faces parallel to the sides of the box.Also,find the space left empty in the box.
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Solution:-
Internal dimensions of cuboid are L = 1.2 m = 120 cm ; B = 80 cm and H = 50 cm
Volume of the box = L*B*H
= 120*80*50
= 480000 cu cm
When position of cubes would occupy space according to length = 17*7 = 119 cm in length and 1 cm space is left.
Similarly, according to width = 11*7 = 77 cm and 3 cm space is left.
And, according to height = 7*7 = 49 cm and 1 cm space is left.
Hence, number of cubes can be packed 17*11*7
= 1309 cubes
Volume occupied = 119*77*49
= 448987 cu cm
Space left empty = 480000 - 448987
= 31013 cu cm
Answer.
Internal dimensions of cuboid are L = 1.2 m = 120 cm ; B = 80 cm and H = 50 cm
Volume of the box = L*B*H
= 120*80*50
= 480000 cu cm
When position of cubes would occupy space according to length = 17*7 = 119 cm in length and 1 cm space is left.
Similarly, according to width = 11*7 = 77 cm and 3 cm space is left.
And, according to height = 7*7 = 49 cm and 1 cm space is left.
Hence, number of cubes can be packed 17*11*7
= 1309 cubes
Volume occupied = 119*77*49
= 448987 cu cm
Space left empty = 480000 - 448987
= 31013 cu cm
Answer.
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