A metal box with a square base and vertical sides is to contain 1024 cm3 of water, the material for the top and bottom costs Rs 5 per cm2 and the material for the sides costs Rs 2.50 per cm2. Find the least cost of the box.

An open tank with a square base and vertical sides is to be constructed form a metal sheet so as to hold a given quantity of water. Show that the cost of material will be least when depth of tank is half its width. If the cost is to be borne by nearby settled lower income families, for whom water will be provided, what kind of value is hidden in the question

If a cloth costs Rs 715 1/4 per metre, find the cost of 3 2/5 metres of this cloth.

A tank with rectangular base and rectangular sides open at the top is to be constructed so that its depth is 3 m and volume is 75 m3. If building of tank costs Rs. 100 per square metre for the base and Rs. 50 per square metres for the sides, find the cost of least expensive tank.

The dimensions of a rectangular box are in the ratio 2:3:4 and the difference between the cost of covering it with sheet of paper at the rates of Rs. 8 and Rs. 9.50 per m^2 is Rs. 1248. Find the dimensions of the box.

The dimensions of a rectangular box are in the ratio 2:3:4 and the difference between the cost of covering it with sheet of paper at the rates of Rs. 8 and Rs. 9.50 per m^2 is Rs. 1248. Find the dimensions of the box.

2 tables and 3 chairs together cost Rs 2000 whereas 3 tables and 2 chairs together cost Rs 2500. Find the total cost of 1 table and 5 chairs

A rhombus shaped sheet with perimeter 40 cm and one diagonal 12 cm , is painted on both sides at the rate of Rs 5 per cm^(2) . Find the cost of painting.

The dimensions of a rectangular box are in the ratio 4: 2: 3 . The difference between cost of covering it with paper at Rs 12 per m^(2) and with paper at the rate of 13.50 per m^(2) is Rs 1,248. Find the dimensions of the box.

The cost of fencing a circular field at the rate of Rs 240 per metre is Rs 52,800. The field is to be ploughed at the rate of Rs 12.50 per m^(2) . Find the cost of ploughing the field.

The cost of papering the walls of a room 12 m long at the rate of Rs. 13.50 per square metre is Rs. 3402 and the cost of matting the floor at Rs. 9.50 per square metre is Rs. 1026. Find the height of the room.