A box is in the form of a cube. Its edge is 5 m long. Find – 

(a) The total length of the edges 

(b) The total cost of painting the outside of the box, on all the surfaces, at the rate of per Rs. 5 m/sq. 

(c) The volume of liquid which the box can hold.

Given

• Shape: Cube
• Edge length, a = 5 m

(a) Total length of all edges

A cube has 12 edges.
Total length = 12 × a = 12 × 5 = 60 m.

(b) Total cost of painting the outside surfaces

Outside area to paint = Total surface area of cube = 6a²
= 6 × (5)² = 6 × 25 = 150 m².

If the rate of painting is R per m², then
Cost = Area × Rate = 150 × R.

Answer: Painting cost = 150 × R (in the given currency).

(c) Volume of liquid the box can hold

Volume of cube = a³ = 5³ = 125 m³.

Final Answers

1. Total length of edges: 60 m
2. Painting cost (outside): 150 × R (currency units), where R is the rate per m²
3. Volume (capacity): 125 m³