Gold can be hammered into extremely thin sheets called gold leaf. An architect wants to cover a 100 ft\,?

Convert all the feet and inches to centimeters and multiply to get the volume of gold

100ft* 30.48cm/1ft=3048 cm

84ft* 30.48cm/1ft=2560.32 cm

5/1000000in* 2.54cm/1in= 1.27x10^-5cm

3048*2560.32*1.27x10^-5=99.10896cm^3

99.10896cm^3* 19.32g/cm^3=

1914.785g* 1 troy ounce/31.1034768g=61.56177 troy ounces * $953/troy ounce= $58668, $60000 for one sigfig

Gold can be hammered into extremely thin sheets called gold leaf. An architect wants to cover a 100ft X 84ft ceiling with gold leaf that is five-millionths of an inch thick. The density of gold is 19.32g/cm^3, and gold costs $ 953 per troy ounce (1 troy ounce = 31.1034768g}). How much will it cost the architect to buy the necessary gold? Express your answer using one significant figures.

------------------------------------------------------

At least attempt some of these problems yourself!

100 ft x 12 in/ft x 2.54 cm/inch = 3049 cm

84 ft x 12 in/ft x 2.54 cm/inch = 2560.3 cm

3049 cm x 2560.3 cm = 793,665 cm^2 area

5 x 10^-6 in x 2.54 in/cm = 1.968 cm^-6. thickness

7.94 x 10^5 cm^2 x 1.968 x 10 -6 cm =

7.94/1.968 x 10^-1 cm^3; = 0.478 cm^3,

and at 19.32 grams/cm^3,

that's 19.32 g/cm^3 x 0.478 cm^3 = 9.23 grams

of cold. 9.23 grams/ 31.1 grams/Troy oz =

0.2967 troy ox; .2967 troy ox x $ 953/troy oz =

$300.

It is really sad when many students lack the ability for logical thinking...

Oh, wait! If it's not on a state-mandated test, it must not be important!