The outer dimensions of a closed wooden box are `10 c m\ ` by `8c m\ ` by `7c mdot` Thickness of the wood is `1c mdot` Find the total cost of wood required to make box if `1\ c m^3` of wood costs `R s\ 2. 00`

The dimension of a cuboidal box are 6mxx400cmxx 1.5m . Find the cost of painting its entire outer surface at the rate of Rs. 22 per m^(2)

The dimensions of a cuboidal box are 6mxx400cmxx1.5m . Find the cost of painting its entire outer surface at the rate of ₹ 22 per m^(2) .

If the centripetal force is of the form m^a v^b r^c , find the valus of a,b, and c.

The perpendicular from the origin to the line y = mx + c meets it at the point (-1, 2) . Find the values of m and c.

A closed box (cuboid) with a square base is to have a volume 2000c.c, The material for the top and bottom of the box is to cost Rs 3 per square cm and the material for the sides is to cost Rs 1.50 per square cm. If the cost of the material is to be least find the dimension of the box.

An electric heater is used in a room of total wall area 137m^(2) to maintain a temperature of 20^(@)C inside it, when the outside temperature is -10^(@)C .The walls have three different layers of materials. The innermost layer is of wood of thickness 2.5cm, the middle layer is of cement of thickness 1.0cm and the outermost layer is of brick of thickness 25.0cm. Find the power of the electric heater. Assume that there is no heat loss through the floor and the celling. The thermal conductivities of wood, cement and brick are 0.125Wm^(-1)C^(-1) , 1.5Wm^(-1)C^(-1) . and 1.0Wm^(-1)C^(-1) respectively.

The total cost of airfare on a given route is comprised of the base cost C and the fuel surcharge S in rupee. Both C and S are functions of the mileage m, C(m) =0.4 m +50 and S(m) = 0.03 m. Determine a function for the total cost of a ticket in terms of the mileage and find the airfare for flying 1600 miles.

The latest edge of a regular hexagonal pyramid is 1c mdot If the volume is maximum, then find its height.