Question
Download Solution PDFFour cubes each of volume 216 cubic cm are joined end to end to form a new solid. The surface area of the new solid is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Volume of each cube = 216 cubic cm
Formula Used:
Volume of a cube = side3
Surface area of the cuboid = 2(lb + bh + hl)
Calculation:
Volume of each cube = 216 cm3
⇒ side3 = 63
⇒ side = 6 cm
Now,
Lenghth of the new solid = 4 × 6 = 24 cm
Breadth of the new solid = 6 cm
Height of the new solid = 6 cm
So,
Surfce area of solid = 2(lb + bh + hl)
⇒ 2 (24 × 6 + 6 × 6 + 6 × 24)
⇒ 2 (144 + 36 + 144)
⇒ 2 × 324 = 648 cm2
∴ The correct answer is option (2).
Last updated on Jun 26, 2025
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