Mathematics
Mathematics
Problem
A wooden cuboid storage box has outer dimensions . The entire outer surface of the box, including all six faces, is to be painted with one coat of paint that costs ₹25 per square metre. (i) Find the total area that will be covered by the paint. (ii) Determine the total cost of the painting work.Intuitive explanation
This problem is about finding the surface area of a rectangular solid and using it to calculate a real-world cost. The key insight is that you need to account for all six faces of the cuboid—top, bottom, and four sides—then add them up using the formula . Once you have the total area in square centimetres, convert it to square metres before multiplying by the price per unit area to find the cost.
Intuitive explanation
This problem is about finding the surface area of a rectangular solid and using it to calculate a real-world cost. The key insight is that you need to account for all six faces of the cuboid—top, bottom, and four sides—then add them up using the formula . Once you have the total area in square centimetres, convert it to square metres before multiplying by the price per unit area to find the cost.