Question

a metallic cuboid measuring 9 cm × 6 cm × 4 cm is melted and formed into a cube find the side of the cube

Answer 1

heyy.
the solution is as follows.
cuboid is formed to make a cube ( square).
volume of cuboid is equal to volume of cube .
9*6*4=a^3.
a=cube root of √( 9*6*4).
a= 6 cm.

Answer 2

Answer:

The side of the cube = 6cm

Step-by-step explanation:

Given,

The dimensions of the cuboid = 9 cm × 6 cm × 4 cm

The metallic cuboid is melted and formed into a cube.

To find,

Side of the cube

Recall the formula

The volume of the cuboid = length × breadth × height

The volume of the cube = side³

Solution

Since the cuboid is melted to form a cube, we have

The volume of the cuboid =  Volume of the cube

Volume of the cuboid = 9 × 6 × 4  =  216cm³

Hence we have

The volume of the cube = 216cm³

Side of the cube = $\sqrt[3]{216}$ = 6cm

∴ The side of the cube = 6cm

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