Question

The dimensions of a metallic cuboid is 18cm x 12cm x 8cm.It is melted and recast into a cube Find the surface area of the cube formed

Answer 1

Heyy mate ❤✌✌❤

Here's your Answer....

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Volume of cuboid= l × b × h

= 18 × 12 × 8

= 1728 cm^2

Volume of cube = a^3

Since, The volume of cuboid is equal to voluke of cube.

1728 = a^3

a = 12 cm.

Therefore, side of the cube = a = 12 cm.

Surface Area of Cube = 6 × a^2

= 6 × 12^2

= 6 × 144

= 864 cm^2.
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Answer 2

$\huge\red{Hi\: Friend}$

Here is your answer

Length = 18 cm
Breadth = 12 cm
Height = 8 cm

Volume of Cuboid = L×B×H
= 18 × 12 × 8
= 1728 cu.cm

Now
Volume of cube = L^3
$1728 = l {}^{3} \\ l = \sqrt[3]{1728} \\ l = 12 \: cm$
So
Surface Area of Cube = 6×L^2
$= 6 \times (12) {}^{2} \\ = 6 \times 144 \\ = 864 \: cm {}^{2}$
$<marquee>Hope it helps you$