21. A metal sheet 27 cm long, 8 cm broad and 1 cm thick is melted into

1.	21. A metal sheet 27 cm long, 8 cm broad and 1 cm thick is melted intoa cube. The side of the cube is(a) 6 cm(b) 8 cm(c) 12 cm(d) 24 cm
Answer» Volume of sheet = volume of cube First we will CALCULATE volume of METAL sheet =l X B x h = 27 x8 x1=216cm^3 So volume of the cube is also 216 cm^3 216=a^3 a=cube ROOT of 216= 6 So SURFACE area of sheet = 2(lb+bh+hl) =2(27x8+8x1+1x27) =502cm^2 And surface area of cube =6a^2 =6 x6^2=216cm^2 Difference between surface area = 502-216=286cm^2

21. A metal sheet 27 cm long, 8 cm broad and 1 cm thick is melted intoa cube. The side of the cube is(a) 6 cm(b) 8 cm(c) 12 cm(d) 24 cm

Answer»

Volume of sheet = volume of cube

First we will CALCULATE volume of METAL sheet =l X B x h

= 27 x8 x1=216cm^3

So volume of the cube is also 216 cm^3

216=a^3

a=cube ROOT of 216= 6

So SURFACE area of sheet = 2(lb+bh+hl)

=2(27x8+8x1+1x27)

=502cm^2

And surface area of cube

=6a^2

=6 x6^2=216cm^2

Difference between surface area = 502-216=286cm^2

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21. A metal sheet 27 cm long, 8 cm broad and 1 cm thick is melted intoa cube. The side of the cube is(a) 6 cm(b) 8 cm(c) 12 cm(d) 24 cm​

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21. A metal sheet 27 cm long, 8 cm broad and 1 cm thick is melted intoa cube. The side of the cube is(a) 6 cm(b) 8 cm(c) 12 cm(d) 24 cm