Q13. A big cuboidal box made of cardboard has dimensions 63 cm x 35 cm X 21 cm. How many
small cubes with side 7 cm can be placed in the box?
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Answer:
Step-by-step explanation:
To determine the number of cubes to be placed in the cuboidal box, we need to find the volume of each object.
1) For volume of cuboidal box,
Length = 63cm, Breadth = 35cm, Height = 21cm
Volume of cuboid = L x B x H
= 63 x 35 x 21
= 63 x 735
= 46305cu.cm
Therefore, volume of box is 46305cu.cm
2) For, volume of cube,
Side = 7cm
Volume of cube = side^3
= (7)^3
= 343
Therefore, volume of cube is 343cu.cm
No. of cubes to be placed in box
= Volume of box / Volume of cube
= 46305 / 343
= 135
Therefore, 135 cubes can be placed in such a box.
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