Question

An industrial coating 0.5 cm thick is applied to all sides of a box of dimensions 10 cm by 6 cm by 14 cm. Estimate the volume of the coating used.

a) The volume of the coating is approximately _________________.

Answer 1

To estimate the volume of the coating used, calculate the surface area of the box and multiply it by the thickness of the coating.

Step-by-step explanation:

To estimate the volume of the coating used, we need to calculate the surface area of the box and multiply it by the thickness of the coating. The surface area of the box can be found by summing the areas of all six sides. The area of a rectangle is given by multiplying its length by its width, so the area of the box is (10 cm * 6 cm) + 2 * (10 cm * 14 cm) + 2 * (6 cm * 14 cm). The thickness of the coating is 0.5 cm, so the volume of the coating is approximately (surface area of box) * (thickness of coating). Plug in the values to find the volume of the coating.