two cubes each of volume27cmsquare are joined end to end find the surface area of resulting cuboid
Answers
Answer:
90 cm²
Step-by-step explanation:
Volume = 27 cm³
Therefore ,
Side = Cube root of 27 = 3 cm
Area of one square on the cube = 9 cm²
TSA of one cube = 9*6 = 54 cm²
The cubes are joined end-to-end .
Therefore two sides would be merged .
Therefore ,
TSA of cuboid = 2(54) - (9)2 { Two cubes and two sides merged }
= 90 cm²
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Answer:
Volume of cube = (side) ^3
Therefore
Let side would be "a"
So, ATQ
a×a×a=27
a=3
Now, when two cubes are attached the it becomes a cuboid whose
Length=6cm and breadth=3 cm and hight =3cm
Now we have to find the area of cuboid
So, area of cuboid=2×(l×b)+(bxh)+(h×l)
2{(6×3) +(3×3) +(3×6)}
2{18+9+18}
=2x45
=90cm sq
So area of cuboid =90cm sq unit