Question
Download Solution PDFThree cubes of equal volume are joined end to end. Find the surface area of the resulting cuboid if the diagonal of the cube is 6√3 cm.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Diagonal of cube = 6√3 cm
Calculations:
Diagonal of cube = √3 × side
⇒ 6√3 = side √3
Hence, side = 6
So, length of cuboid = 3 × 6 = 18
Breadth = 6 and height= 6
So, the surface area of the cuboid
= 2(lb + bh + lh)
= 2(108 + 36 + 108)
= 2 × 252 cm²
= 504 cm²
Hence, The Required value is 504 cm².
Last updated on Jul 10, 2025
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