Question

An open rectangular box 1 mm long 70 cm wide and 50 cm deep, is painted on the inside on the inside and outside. find the cost at 90 naira per metre square

Answer 1

To find the cost of painting the inside and outside of the open rectangular box, you need to calculate the surface area of the box and then multiply it by the cost per square meter. Use the formula for the surface area of a rectangular box to find the surface area, and then multiply it by the given cost per square meter to obtain the cost.

Step-by-step explanation:

To find the cost of painting the inside and outside of the open rectangular box, we first need to calculate the surface area of the box. The surface area of a rectangular box consists of the area of all six sides. The formula to find the surface area of a rectangular box is:

Surface Area = 2(LW + LH + WH)

Given the dimensions of the box: length (L) = 1 mm, width (W) = 70 cm, and depth (H) = 50 cm, we can substitute these values into the formula to find the surface area in cm^2. Once we have the surface area, we can calculate the cost by multiplying the surface area by the cost per square meter.

1. Convert the length from mm to cm: 1 mm = 0.1 cm
2. Calculate the surface area: Surface Area = 2(0.1 cm * 70 cm + 0.1 cm * 50 cm + 70 cm * 50 cm)
3. Compute the cost: Cost = Surface Area * Cost per square meter

Substituting the values, we can calculate the cost.