Question

Six cubes each with 12 cm edge are joint end to end. Find the surface area of the resulting cuboid

Answer 1

Given :- Six cubes each with 12 cm edge are joint end to end. Find the surface area of the resulting cuboid ?

Solution :-

given that,

→ Edge of each cube is = 12 cm.

when 6 cubes of same edge 12 cm are joined end to end ,

they formed a cuboid .

so,

• Length of cuboid = sum of Edge of each cube = 6 * 12 = 72 cm. .
• Breadth of cuboid = Edge of cube = 12 cm.
• Height of cuboid = Edge of cube = 12 cm .

then,

→ The total surface area area of resulting cuboid = 2(L*B + BH * HL) = 2(72 * 12 + 12 * 12 + 12 * 72) = 2(864 + 144 + 864) = 2 * 1872 = 3744 cm².

Hence, the surface area of the resulting cuboid will be 3744 cm² .

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Answer 2

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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