four cubes of side 7 cm are joined together to form a cuboid find the surface area of the resulting cuboid
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Answers
Answered by
112
Given,
Side of a cube = 7cm
When they joined together the length of the four cube = 7 × 4 = 28cm
Then the length of the cuboid= 28cm
In a cube the height and the side is same.
Hence, the height of the cuboid = 7cm
breadth is also = 7cm
TSA of a cuboid :
= 2(l × b + b × h + h × l )
= 2( 28 × 7 + 7 × 7 + 7 × 28 )
= 2( 196 + 49 + 196 )
= 2( 392 + 49 )
= 2 ( 441)
= 882 cm^2
Therefore, the surface area of cuboid = 882cm^2
Answered by
63
Length of each side of the cube=7 cm
Now, 4 cubes are joined end to end,
Therefore,
length of the cube,l=7+7+7+7=28 cm
Breadth, b=7 cm
Height, h=7 cm
Surface area of the resulting cuboid=2(lb+bh+hl)
=2(28×7+7×7+7×28) cm²
=2(196+49+196) cm²
=2(441) cm²
=882 cm²
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