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Q.

The length of cuboid is 12cm, breadth and height are equal and its volume is 432cm3. The cuboid is cut into 2 cubes and than lateral surface area of each cube is:


Class:                9


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a

600 cm3

b

144 cm2

c

53.7 cm2

d

60 cm3  

answer is B.

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Detailed Solution

length = 12cm
let breadth = height = x cm
y = lbh
432 = 12x . x
x2 = 36
x = 6
length of cube
lateral surface area of cube = 4a2
= 4 × 6 × 6
= 144cm2
Hence the lateral surface are of each cube is 144cm2
  
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The length of cuboid is 12cm, breadth and height are equal and its volume is 432cm3. The cuboid is cut into 2 cubes and than lateral surface area of each cube is:Class:                9