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The breadth of a rectangle and its perimeter are 23 cm and 102 cm, respectively. If the side of a cube is 25% less than the length of the rectangle, t
Question


The breadth of a rectangle and its perimeter are 23 cm and 102 cm, respectively. If the side of a cube is 25% less than the length of the rectangle, then find the volume of the cube (cubic cm). 

A.

9261

B.

10648

C.

8000

D.

6859

E.

12167

Correct option is A

Let the length of the rectangle be l cm
ATQ,
2(l+23)=102
l=28 cm
Side of the cube = 28×3/4=21 cm
Required volume = 21×21×21=9261 cubic cm

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