a rectangular piece of aluminum foil (density = 2.700 g/cm*3) is 25.70 cm wide and 28.32 cm long. it has a mass of 7.291 g. what is the thickness of the foil (height) in cm? put answer in correct sig fig.

Respuesta :

let's calculate the volume of the aluminum foil using the density

[tex]density= \frac{mass}{volume} -----\ \textgreater \ volume= \frac{mass}{density} [/tex]

[tex]volume= \frac{7.291 grams}{2.700 g/cm^3} =[/tex] [tex]2.700 cm^3[/tex]

let's recall the volume of a rectangle formula

[tex]Rectangle_{volume}= [/tex] height x wide x long

we already have long and wide, and volume. so let's solve for the unknown

[tex]2.700 cm^3= heightx 25.70 cm x 28.32 cm[/tex]

[tex]height= \frac{2.700}{25.70 x 29.32} = 0.003710 cm[/tex]