Question

Three cubes whose sides are 6 cm , 8 cm,and 10 cm are melted to make a new cube . The surface area of cube .

Answer 1

volume V1 of cube whose edge is 6 cm = 6×6×6 = 216 cm3

volume V2 of cube whose edge is 8 cm = 8×8×8 = 512 cm3

volume V3 of cube whose edge is 10 cm = 10×10×10 = 1000 cm3

Total volume = V1 + V2 +V3 = 216+512+1000 = 1728 cm3

if a single cube of edge a is formed from the toal volume, then we have, a3 = 1728 cm3

to get side a, we need to get the cuberoot of 1728

1728 = 4×432 = 4×4×108 = 4×4×4×27 = 43 × 33 = (4×3)3 = 123

hence side of single cube = 12 cm

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#Pihu's answer

Answer 2

Answer:

The surface area of new cube is 1200cm².

The formula is 6a² so 6x36 + 6x64 + 6x100= 1200.Hope you got it.