Answer:
The volume of the box is 7.5 × 10^-4 m³ ⇒ answer D
Explanation:
The volume of the box = l × w × h, where l, w, h are its dimensions
The length of the box is 10.0 cm
The width of the box is 15.0 cm
The height of the box is 5.0 cm
We need to find its volume in m³
Lets change its dimensions from cm to m
1 m = 100 cm
The length of the box = [tex]\frac{10}{100}=\frac{1}{10}=10^{-1}[/tex]
The width of the box = [tex]\frac{15}{100}=\frac{1.5}{10}=1.5*10^{-1}[/tex]
The height of the box = [tex]\frac{5}{100}=5*10^{-2}[/tex]
The volume of the box = l × w × h
Substitute the values of l , w, h in the equation
The volume of the box = [tex]10^{-1}*(1.5)10^{-1}*(5)10^{-2}[/tex]
Multiply 1.5 and 5 and add the power of the base 10
The volume of the box = [tex]7.5*10^{-4}[/tex] m³
The volume of the box is 7.5 × 10^-4 m³