If a cuboid of length 12 cm, breadth 2 cm and height 1 cm is molten and a third of the cast is used to make a cube, find the edge length of the cube.

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Solution

Volume of the cuboid = $12 cm \times 2 cm \times 1 cm = 24 {cm}^{3} Volume of the cube = a third of the volume of the cuboid = \frac{1}{3} \times 24 {cm}^{3} = 8 {cm}^{3} Side of the cube = 2 cm, since 2 cm \times 2 cm \times 2 cm = 8 {c m}^{3}$

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If a cuboid of length 12 cm, breadth 2 cm and height 1 cm is molten and a third of the cast is used to make a cube, find the edge length of the cube.

Volume of the cuboid = 12 cm × 2 cm × 1 cm = 24 cm3Volume of the cube = a third of the volume of the cuboid= 13 × 24 cm3 = 8 cm3Side of the cube = 2 cm, since 2 cm × 2 cm × 2 cm = 8 cm3

Volume of the cuboid = $12 cm \times 2 cm \times 1 cm = 24 {cm}^{3} Volume of the cube = a third of the volume of the cuboid = \frac{1}{3} \times 24 {cm}^{3} = 8 {cm}^{3} Side of the cube = 2 cm, since 2 cm \times 2 cm \times 2 cm = 8 {c m}^{3}$