Question

the cost of polishing 35 identical wooden cubicle boxes at the rate of rs 20 per cm3 is rs 151200 .find the edge of the cubical box

Answer 1

Note: The question has an error; rate of polishing cannot be in units of rupees/cm³ and the correct unit should be rupees/cm²

Let each of the identical wooden cube have a side length of a.
We know,
Total Surface Area of a Cube = 6 x (a²)
TSA = 6a²

Total Cost of Polishing all Cubes = 35 x (TSA of a Cube x Rate of polishing)

Substituting the given data, we have;
1,51,200 = 35 x (6a² x 20)

Upon simplification,
a² = 151200 / (35 x 6 x 20)
a² = 36
a = 6 cm

I hope this is the required answer : )