Question

Find the edge of the cube formed by melting a cuboid I the cube formed by melting a cuboid of dimensions 16 cm x 24 cm x 36 cm.​

Answer 1

Given :

• Metallic cuboids measuring 36 cm x 24 cm x 16 cm is melted and formed into a cube.

To find :

• The side of the cube =?

Formula Used :

• Volume of cuboid = length x breadth x height.

• Volume of cube = side³

Step-by-step explanation :

As We know that,

Volume of cuboid = length x breadth x height

Substituting the values in the above formula, we get,

= 36 x 24 x 16

= 13,824.

Therefore, Volume of cuboid = 13,824 cm³.

Now,

According to the question,

Volume of cuboid = Volume of cube = side³

Substituting the values in the above formula, we get,

side³ = 13,824

side = ³√13,824

side = 24.

Therefore, Side of cube = 24 cm.

Answer 2

VOLUME OF CUBOID = VOLUME OF CUBE

$l \times b \times h = {a}^{3} \\ {a}^{3} = 16 \times 24 \times 36 \\ {a}^{3} = 4 \times 4 \times 4 \times 6 \times 6 \times 6 \\ a = 4 \times 6 \\ a = 24$

EDGE OF THE CUBE IS 24cm