A student was asked to measure the density of a block. The dimensions of the block are shown in the diagram. The mass of the block is 128 g. (a) Calculate the volume of the block. (b) Calculate the density of the block. Include the unit for your answer. (c) The photograph below shows three glasses of water labelled A, B and C. An egg was placed into each glass. The photograph was taken when the eggs were stationary. Which glass (A, B or C) contains the egg with the greatest density? Give a reason for your answer.

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A student was asked to measure the density of a block - Junior Cycle Science - Question 2 - 2019

Question 2

A student was asked to measure the density of a block. The dimensions of the block are shown in the diagram. The mass of the block is 128 g. (a) Calculate the volum... show full transcript

Worked Solution & Example Answer:A student was asked to measure the density of a block - Junior Cycle Science - Question 2 - 2019

Step 1

Calculate the volume of the block.

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Answer

To calculate the volume of the block, we use the formula for the volume of a rectangular prism:

$V = l imes w imes h$

Where:

Length (l) = 8 cm
Width (w) = 2 cm
Height (h) = 4 cm

Substituting in the values:

$V = 8 ext{ cm} imes 2 ext{ cm} imes 4 ext{ cm} = 64 ext{ cm}^3$

Step 2

Calculate the density of the block. Include the unit for your answer.

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Answer

Density ( $\rho$ ) is calculated using the formula:

$\rho = \frac{mass}{volume}$

Given the mass of the block is 128 g and the calculated volume is 64 cm³, we have:

$\rho = \frac{128 g}{64 cm^3} = 2 g/cm^3$

Step 3

Which glass (A, B or C) contains the egg with the greatest density? Give a reason for your answer.

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Answer

The glass that contains the egg with the greatest density is C. This is because the egg in glass C sinks the most, indicating it has a higher density than the water it's in.

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