Question

what volume of paint will be needed to paint the prism box that has a width, length and height of 6cm if about 100ml of paint s needed to cover 1 square metre per coating

Answer 1

To find the volume of paint needed to cover the prism box, we need to calculate the surface area of the box and then divide it by the coverage rate.

The surface area of a rectangular prism is given by the formula:
Surface Area = 2(Length * Width + Length * Height + Width * Height)

Given:
Width = Length = Height = 6 cm

Plugging in the values:
Surface Area = 2(6 * 6 + 6 * 6 + 6 * 6)
Surface Area = 2(36 + 36 + 36)
Surface Area = 2(108)
Surface Area = 216 cm^2

Now, let's convert the surface area from cm^2 to m^2:
1 m^2 = 10,000 cm^2
Surface Area = 216 cm^2 * (1 m^2 / 10,000 cm^2)
Surface Area = 0.0216 m^2

Given that 100 ml of paint can cover 1 m^2, we can calculate the volume of paint needed:
Volume of Paint = Surface Area * Coverage Rate
Volume of Paint = 0.0216 m^2 * 100 ml/m^2
Volume of Paint = 2.16 ml

Therefore, approximately 2.16 ml of paint will be needed to paint the prism box.