a cube of side 1 metre is stuck top of another cube of 2 metres, which in turn is stuck on top of a cuboid of dimensions 6 M x 5 M x 3 M to form a solid. the entire exposed surface of this solid has to be painted. how many square metre is that?
Answers
Given : a cube of side 1 m is stuck top of another cube of 2 m, which in turn is stuck on top of a cuboid of dimensions 6 m x 5 m x 3 m to form a solid
entire exposed surface of this solid has to be painted
To Find : Area to be painted
Solution :
Surface area of cube = 6a²
Surface area of cube side 1 m = 6(1)² = 6 m²
Surface area of cube side 2 m = 6(2)² = 24 m²
Surface area of cuboid = 2(lb + bh + lh)
Surface area of 6 m x 5 m x 3 m cuboid
= 2( 6 x 5 + 5 x 3 + 6 x 3)
= 2( 30 + 15 + 18)
= 2(63)
= 126 m²
Total area = 6 + 24 + 126
cube of 2 m attached on cuboid
Hence 2x 2 = 4 m² area of both is not exposed
=> 4 + 4 = 8 m²
cube of 1 m attached on cube of 2 m
Hence 1 x 1 = 1 m² area of both is not exposed
=> 1 + 1 = 2 m²
Entire exposed surface = 126 - 8 - 2 = 116 m²
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