six cubes,each will 12cm edge are joined end to end . find the surface area of cube so formed
class 9 (surface area and volume)
Answers
When six cubes are joined end to end, then the resulting solid is a cuboid.
length= 6 × 12 cm = 72 cm
Breadth = 12 cm
Height = 12 cm
Surface area of the cuboid
= 2 (lb + bh + hl)
= 2 (72 * 12+ 12 * 12 + 72 * 12)
= 2 * 1872 cm2.
= 3744 cm2
Given : Six cubes each with 12 cm edge are joint end to end.
To Find : the surface area of the resulting cuboid
Solution:
cubes each with 12 cm edge are joint end to end.
Hence resultant figure will be cuboid
6 * 12 = 72 cm
length = 72 cm
breadth = height = 12 cm
surface area of the resulting cuboid = 2( lb + bh + lh)
= 2( 72*12 + 12*12 + 72* 12)
= 2 * 12² (6 + 1 + 6)
= 2 * 144 * 133,744
= 3,744 cm²
surface area of the resulting cuboid = 3,744 cm²
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