Question

the dimension of metallic cuboid are 49 CM by 35 cm by 25 CM full stop it is melted and recast into a cube full stop find the surface of the cube

Answer 1

volume of cuboid = volume of cube

l * b * h = a * a * a

49 * 35 * 25 = cube of a

cube root of 49*35*25 = a

a = 35cm

surface area of cube= 6a square

                                 =6 * 35 *35

                                 = 7350 cm cube

Answer 2

Hello.......... ^_^

Here is your answer...

Given:-
dimensions of a metallic cuboid is 49cm, 35cm, 25cm

Volume of cuboid = length X breadth X height
= 49 X 35 X 25
= 42875 cubic cm

(according to the question)
The metallic cuboid is melted and recast into a cube

so,
Volume of cuboid = Volume of cube
$= 42875 = {(side)}^{3} \\ = \sqrt[3]{42875} = side \\ = 35$
side of cube = 35cm

$Surface \: \: area \: \: of \: \: cube = 6 \times {(side)}^{2} {cm}^{2} \\ = 6 \times {(35)}^{2} {cm}^{2} \\ = 6 \times 35 \times 35 {cm}^{2} \\ = 7350 {cm}^{2}$



Hope it helps.......... ^_^