alleryThe edges of a cuboid are in the ratio 1 : 2 : 3 and its surface area is 88 cm². The volume of the cuboid is:
A48 cm³
B24 cm³
C64 cm³
D120 cm³
Answer & Solution
Correct answer: A. 48 cm³
1. Let edges be x, 2x, 3x. Surface area = 2(x·2x + 2x·3x + x·3x) = 2(11x²) = 22x².
2. Set 22x² = 88, so x² = 4 and x = 2.
3. Volume = x·2x·3x = 6x³ = 6×8 = 48 cm³.
_Source: RRB Group D (RRC) PYQ, held 27-10-2013, Q.67._
Keep practising Mensuration
Browse all Mensuration questions for Accenture Hiring, or explore more Quantitative Aptitude topics.
Related questions
One side of a rhombus is 37 cm and its area is 840 cm². Find the sum of the lengths of itsThe surface areas of three faces of a cuboid sharing a common vertex are 25 m², 32 m² and If the edge of a cube is halved, its volume reduces to how many times the original volume?A wheel travels a distance of 22 km in 2500 revolutions. What is the diameter of the wheelThe line 2x + 3y = 12 has y-interceptThe midpoint of segment joining (2, 3) and (6, 7) isIf sin(theta) + cos(theta) = sqrt(2) and theta is acute, then theta isThe distance between points (3, 4) and (0, 0) is