Question

11.A metallic cuboid with dimensions 16 cm×8 cm×4 cm was melted and recast into a cube. What is the length of the edge of the cube?

Answer 1

Answer:

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

Step-by-step explanation:

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