IGCSE Physics (0625) 1.4 Density Paper 3

Question

A student has a pile of A4 paper for his computer printer.

Fig. 1.1 shows the dimensions of the pile of paper.

                 

(a) The pile contains 500 sheets of paper.

Calculate the average thickness of one sheet of paper.
average thickness = ……………………………………………. cm

(b) Show that the pile of paper has a volume of 3000 \(cm^3\). Use the information shown in Fig. 1.1.

(c) The student measures the total mass of the paper in the pile.
State the name of a device used to measure mass.

(d) The mass of the paper in the pile is 2400 g.
Calculate the density of the paper.
density = ………………………………………. g / \(cm^3\)

Answer/Explanation

Answer:
(a) 5.0 ÷ 500 or 0.01 (cm)

(b) 30 × 20m× 5 or length × width× height or cross-sectional area  × length

(c) balance

(d) D = M / V in any acceptable form
2400 ÷ 3000
0.80 (g / \(cm^3\)) or 0.8 (g / \(cm^3\)).

Question

A student is investigating volume and density.

The student has a box, as shown in Fig. 1.1, a balance, a rule and some dry sand.

(a) Fig. 1.1 shows the dimensions of the inside of the box.

                           

Calculate the volume of sand needed to fill the box.
volume of sand = ………………………………………………. \(cm^3\)

(b) The student measures the mass of the box when empty and when filled with sand.

quantity

mass / g

mass of box filled with sand

216.0

mass of empty box

40.0

Calculate the mass of the sand in the box, using her results.
mass of sand = ……………………………………………….g

(c) Calculate the density of the sand.
density of sand = g / …………………………………….. \(cm^3\)

(d) A miner has a bag containing a mixture of gold dust and sand. Gold has a density of

19.3 g /\(cm^3\).

He heats the mixture until the gold melts.
Predict whether the sand will float on top of the molten gold. Explain your answer.

Answer/Explanation

Answer:
(a) 80(\(cm^3\) )

(b) 176.0(g)

(c) D = M/V in words, numbers or symbols
176 ÷ 80
2.2(g/ \(cm^3\) )

(d) (sand) will float
sand is less dense than gold

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