Mathematics
NULL
Medium
Question
The edges of a cuboid are in the ratio 1 : 2 : 3 and its surface area is 88 cm². Find the volume of the cuboid.
A
24 cm3
B
48 cm3
✓ Official correct answer
C
64 cm3
D
120 cm3
Community credibility
Registered members can vote for the answer they believe is correct today and explain why. If the facts change after an election or news event, suggest a new option so others can vote it up.
A
24 cm3
No member explanations yet for this option.
B
48 cm3
No member explanations yet for this option.
C
64 cm3
No member explanations yet for this option.
D
120 cm3
No member explanations yet for this option.
Explanation
Edges x, 2x, 3x. Surface = 2(2x² + 6x² + 3x²) = 22x² = 88 ⇒ x = 2. Volume = 2 × 4 × 6 = 48 cm³.