Volume of a cube is x cubic yards and its surface area is y square feet. If x = y, what is the length of each edge of the cube in inches? (A) 54 (B) 216 (C) 432 (D) 864 (E) 1944

1 yard = 3 feet 1 cubic yard = 27 cubic feet Say, the side of the cube = a, Volume = a*a*a = x Cubic Yards = x*27 Cubic feet -(1) Surface area = 6*a*a = y Cubic feet = x Cubic feet(x=y) -(2) from 1 and 2 (a*a*a)/(6*a*a) = x*27/x => a/6 = 27 => a = 27*6 = 162 feet = [spoiler]162*12 inches = 1944[/spoiler] :banghead: where did I go wrong ?? Edited: Relaxed now

neelgandham wrote:1 yard = 3 feet 1 cubic yard = 27 cubic feet Say, the side of the cube = a, Volume = a*a*a = x Cubic Yards = x*27 Cubic feet -(1) Surface area = 6*a*a = y Cubic feet = x Cubic feet(x=y) -(2) from 1 and 2 (a*a*a)/(6*a*a) = x*27/x => a/6 = 27 => a = 27*6 = 162 feet = 162*12 inches = 1944 :banghead: where did I go wrong ?? Don't bang head, you are correct, choices edited, thanks

On solving it gives: B. What is the OA?

sanju09 wrote:Volume of a cube is x cubic yards and its surface area is y square feet. If x = y, what is the length of each edge of the cube in inches? (A) 54 (B) 216 (C) 432 (D) 864 (E) 1944 Let e = the length of each edge in YARDS. Volume in CUBIC YARDS = e³. Since 1 yard = 3 feet, the length of each edge in FEET = 3e. Surface area in SQUARE FEET = 6(3e)² = 54e². Since the volume in CUBIC YARDS = the surface area in SQUARE FEET: e³ = 54e² e = 54 yards. Since 1 yard = 36 inches, the length of each edge in INCHES = 54*36 = 1944. The correct answer is E.