Answer
The volume of paint in the cubic meter is 0.00254 m³ .
Thickness of the layer of wet paint is 0.195 mm .
Explanation:
First part
As given
A partly full paint can has 0.67 U.S. gallons of paint left in it.
As
1 m³ = 264.172 gallons
[tex]1\ gallons = \frac{1}{264.172}\ m^{3}[/tex]
Now convert 0.67 U.S. gallons into cubic meter .
[tex]0.67\ gallons = \frac{0.67}{264.172}\ m^{3}[/tex]
= 0.00254 m³ (Approx)
The volume of paint in the cubic meter is 0.00254 m³ .
Second part
As given
If all the remaining paint is used to coat a wall of area 13 m²evenly .
Formula
Volume of wall = Length × Breadth × Height
(As Area of wall = Length × Breadth)
Height = Thickness
Thus formula becomes
Volume of wall = Area × Thickness
(Volume = 0.00254 m³ and Area = 13 m²)
Thus
0.00254 = 13 × Thickness
[tex]Thickness = \frac{0.00254}{13}[/tex]
Thickness = 0.000195 m
As 1 m = 1000 mm
Now convert 0.000195 m into millimeters .
[tex]0.000195 m = \frac{195\times 1000}{1000000}\ mm[/tex]
[tex]0.000195 m = \frac{195}{1000}\ mm[/tex]
= 0.195 mm
Therefore thickness of the layer of wet paint is 0.195 mm .
a. the volume of the paint in cubic meters: 2,536.10⁻³ m³
b. the thickness of the wet paint coating: 0.195 mm
7 main quantities have been determined based on international standards, namely:
The length is to indicate the distance between two points in a place
The symbol is usually expressed in l, length
The volume itself is a derivative of length
Volume is the amount of how much space an object has
The unit of volume can be expressed in liters or milliliters or cubic meters.
The conversion is
1 cc = 1 cm³
1 dm = 1 Liter
1 mL = 1 cm³
1 L = 1 dm³
general formula :
V = length x width x height
a. Known :
1 us gallons = 3,785.10⁻³ m³
then for 0.67 us gallons becomes:
0.67 x 3,785.10⁻³ = 2,536.10⁻³ m³
b. volume = A. h (h = thickness)
h = 2,536.10⁻³ m³ / 13 m²
h = 1.95.10⁻⁴ m
h = 0.195 mm
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Keywords: volume, paint, gallons, wall
