volume

Asked by fathima12 | 27th Dec, 2009, 12:48: AM

Expert Answer:

Let the common ratio be x, and side of the cube be y.

The sides of the cuboid = x, 2x and 4x

The total surface area of the cuboid = 2(2x2 + 8x2 + 4x2) = 28 x2

The total surface area of the cube = 6y2

Since the volumes are equal,

Volume of cube = Volume of cuboid

y3 = (x)(2x)(4x) = 8x3

y = 2x

Difference in surface areas = 28x2 - 6(2x)2 = 4x2

(Cost/m2)(m2) = Total cost

(4x2) 5 = 80

x = 2

The volume of cuboid and cube = 8x23 = 64 m3

Regards,

Team,

TopperLearning.

 

 

Answered by  | 27th Dec, 2009, 02:07: PM

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