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Floating Blocks and Icebergs Activity 1.4 Date: Course/Section Name: i.e. it is

ID: 112435 • Letter: F

Question

Floating Blocks and Icebergs Activity 1.4 Date: Course/Section Name: i.e. it is a cube or rectangular prism) like the one shown in column A of Fig. A1.4.1, whose sides have lengths a, b, and c and the band care of equal length. vou have a solid that is square on the top and bottom and either a square or rectangle on all the other sides depth (a) 1.0 cm 0.7 cm cm base dimensions 1.0 cm 1.0 cm 1.0 cm 1.0 cm 1.0 cm 1.0 cm (b, c) volume (V density (p) mass (m) 7.0 cm cm3 cm 1.0 g/cm 0.3 g 1.0 g/cm 1.0 g/cm3 Figure A1.4.1 l. Now imagine that you know the volume of the solid (V, measured in cm') and the length of two of the three sides, b and e (measured in cm). Explain in words or with an equation how you can calculate the length of the remaining side, a. measured in g/cms) times volume (crms): m = x V. Recall that the Greek letter rho () is used to represent density. (a) If you know mass and density, you can calculate the volume. How? g) is the product of density (p, (b) If you know volume and density, you can calculate mass. How? 26

Explanation / Answer

Ans 1) Volume equals length X breadth X height i.e. product of all the three sides , so if we know two sides and the volume then we can calculate the third side by dividing the volume by the product of the two known sides.

Ans 2)

a) mass = density X volume

if we know mass and density then we can calculate the volume by dividing mass by density.

b) if we know volume and density we can calculate the mass by multiplying density and volume.

Ans 3) Filling the blanks in the table

for A , mass = density X volume

= 1.00 X 1.00

= 1gm

for B, volume= a X b X c

= 1 x 1 X 0.7

=0.7 cm3

mass= density X volume

= 1 X 0.7

= 0.7 gm

for C ,

volume = mass / density

=0.3 / 1

= 0.3 cm 3

volume = a X b X c

a= 0.3/1 X 1

=0.3 cm

Ans 4) the value of a is equal to the value of m