rajat makes a cuboid of sides 5cm,4cm and 5cm. how many such cuboids are needed to form a cube?
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rajat makes a cuboid of sides 5cm,4cm and 5cm. how many such cuboids are needed to form a cube?
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Answer:
10
Step-by-step explanation:
To form a cube, the total volume of the smaller cuboids must add upto a perfect cube, since the volume of a cube is (side)³.
Volume of 1 cuboid = 5×4×5 = 100 cm³
Volume of 10 cuboids = 100×10 = 1000 cm³
1000 cm³ is (10 cm)³, which is a cube of side 10 cm.
Hence, we need 10 such cuboids to form a cube.