Chemistry - Pressure & Gas Characteristics Question?

Question

A lead cube with edges 25.0 cm in length rests on a flat surface. The density of lead is 11.34 g/cm-cubed. Calculate the pressure in pascals exerted by the cube on the surface.

How would I go about solving this problem?

Answer 1

pressure is force per unit area

find the volume :

(25cm)^3 = 15,625 cc

find the mass of that volume:

15,625 cc @ 11.34 g / cc = 177,187.5 grams

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find the surface area of a side:

(25 cm)^2 = 625 cc

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you have 177,187.5 grams / 625 cc = 283.5 grams /cc

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  283.5 grams /cc  @  98.066  pascal / gram force per cc =  27 801.85 pascal

your answer (3 sigfigs) : 2.78e4 Pa