A block of foam is 4.3 cm long, 3.2 cm wide, and 1.6 cm tall. From this data, how heavy is the block if it has a density of 2.3 g/cmº?

50.6368 g

Explanation:

*Note that the equation p = m/v

p is the density. m is the mass. v is the volume.  

1. First find the volume of the foam block:

(length) x (width) x (height) = volume

4.3 cm x 3.2 cm x 1.6 cm = 22.016

2. Set up the equation:

If your foam block has a density of 2.3 g/cm and a volume of 22.016 cm. Put these numbers both into the equation. I am going to use m to represent the mass.

2.3 g/(cm) = m/ 22.016(cm)

2.3 x 22.016 = m

50.6368 = m

So, your mass is 50.6368 g

Last year I took an engineering class, and while I don't remember every detail that was taught, I do remember the teacher explaining the mass isn't the same as weight. Since in the question gravity isn't mentioned I am assuming that they want the mass, if that is not the case...

Weight= mass * (the force of gravity)

So you would take the gravity force (if you were provided with one) and multiply that by 50.6368g

***I recommend watching "Mass and Weight Clarification" on Khan Academy***

the answer is 0.8m.

by: nicholas