Question

Three metal cubes of sides 6 cm , 8 cm and 10 cm are melted and recast into a big cube . Find its total surface area .​

Answer 1

Step-by-step explanation:

sides of cubes= 6cm, 8cm, 10cm

after recasting all cubes= 6+8+10= 24cm

total volume of cube= 24 x 24 x 24= 13824

total surface area= 24 x 24= 576

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Answer 2

Step-by-step explanation:

Let the each side of cube in cm.

Then,

a^3 = (6{}^3 + 8{}^3 + 10{}^3 )cm{}^3

=> a{}^3 = 1728

=> a = 12

°.°volume of a new cube = a{}^3 = 1728cm{}^3

surface area of the new cube => 6a{}^2 = 6 x 12{}^2cm{}^2 =864cm{}^2.