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- The edge of a cuboid are in the ratio 1 : 2 : 3 and its surface area is 88 cm2.
Question 1:
The edge of a cuboid are in the ratio 1 : 2 : 3 and its surface area is 88 cm2.The volume of the cuboid is:
A. 24 cm3
B. 48 cm3
Feedback Let the dimensions of the cuboid be x, 2x and 3x.
Then, 2(x*2x + 2x*3x + x*3x) = 88
= 2x2 + 6x2 + 3x2 = 44 = 11x2 = 44 = x2 = 4 = x = 2.
Therefore volume of the cuboid = (2*4*6) cm3 = 48 cm3.
Then, 2(x*2x + 2x*3x + x*3x) = 88
= 2x2 + 6x2 + 3x2 = 44 = 11x2 = 44 = x2 = 4 = x = 2.
Therefore volume of the cuboid = (2*4*6) cm3 = 48 cm3.
C. 64 cm3
D. 120 cm3
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