if a box has a length of 10.0 cm, with a width of 15.0 cm, and a height of 5.0 cm, then what is the volume in m3?
A) 7.5 x 10 ^ -3
B) 750 x 10^2
C) 7.5 x 10^2
D) 7.5 x 10^ -4

Respuesta :

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