Mathematics
The internal measurements of a box are 20 cm long, 16 cm wide and 24 cm high. How many 4 cm cubes could be put into the box?
Mensuration
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Answer
By formula,
Volume of cuboidal box = l × b × h
Substituting values we get,
Volume of box = 20 cm × 16 cm × 24 cm = 7680 cm3
By formula,
Volume of cube = (side)3
Substituting values we get,
Volume of cubes = 4 cm × 4 cm × 4 cm = 64 cm3
Let no. of cubes be n.
So, total volume of cubes = 64n cm3.
In order to fill the box with cubes,
Volume of cubes = Volume of box
∴ 64n = 7680
⇒ n = = 120.
Hence, 120 cubes can be put into the box.
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