a solid piece of metal, cuboidal in shape, with dimensions 24 cm, 18 cm, and 4 cm, is recast into a cube. Calculate the lateral surface area of the cube.
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Volume of cuboidal metal
= 24 cm * 18cm* 4 cm
= 1728 cubic cm
volume will remains same as the same metal cuboidal is recast into cube.
Volume of cube = 1728 cubic cm
side of cube = cube root of 1728
= 12 cm
Lateral surface area = 4 * side*side
= 4 * 12 * 12
= 576 sq. cm
= 24 cm * 18cm* 4 cm
= 1728 cubic cm
volume will remains same as the same metal cuboidal is recast into cube.
Volume of cube = 1728 cubic cm
side of cube = cube root of 1728
= 12 cm
Lateral surface area = 4 * side*side
= 4 * 12 * 12
= 576 sq. cm
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