a metallic cuboid of dimensions 16cm * 8cm * 4cm was melted and recast into a cube. find the edge of cube
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Edge of cube = 8 cm
Step-by-step explanation:
Given: A metallic cuboid of dimensions 16cm * 8cm * 4cm was melted and recast into a cube.
Find: edge of cube
Solution:
Let a be the edge of cube, then:
Volume of cuboid = Volume of cube
l * b * h = a³
16 * 8 * 4 = a³
512 = a³
So edge of cube = a = cube root of 512 = cube root of 8³ = 8 cm
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