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
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.
To find the volume of paint needed to paint the prism box, we first need to calculate the surface area of the box.
The surface area of a rectangular prism can be found using the formula:
Surface Area = 2(length × width) + 2(length × height) + 2(width × height)
Given the dimensions of the prism box as:
Width = 6 cm
Length = 6 cm
Height = 6 cm
Substituting these values into the formula:
Surface Area = 2(6 × 6) + 2(6 × 6) + 2(6 × 6)
Surface Area = 2(36) + 2(36) + 2(36)
Surface Area = 72 + 72 + 72
Surface Area = 216 cm²
Since we know that 100ml of paint is needed to cover 1 square meter per coating, we can convert the surface area to square meters:
Surface Area in square meters = Surface Area / 10000
Surface Area in square meters = 216 / 10000
Surface Area in square meters = 0.0216 m²
Finally, to find the volume of paint needed, we multiply the surface area in square meters by the 100ml per square meter:
Volume of paint = Surface Area in square meters × 100ml/m²
Volume of paint = 0.0216 m² × 100 ml/m²
Volume of paint = 2.16 ml
Therefore, approximately 2.16 ml of paint will be needed to paint the prism box.