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. Include the unit for your answer. (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 volu... 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 find the volume of the block, we use the formula for the volume of a rectangular prism:

$V = l imes w imes h$

Where:

$l$ is the length (8 cm)
$w$ is the width (4 cm)
$h$ is the height (2 cm)

Plugging in the values: $V = 8 ext{ cm} imes 4 ext{ cm} imes 2 ext{ cm} = 64 ext{ cm}^3$

Step 2

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

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Answer

The density is calculated using the formula:

$\text{Density} = \frac{\text{Mass}}{\text{Volume}}$

Given:

Mass = 128 g
Volume = 64 cm³

Substituting the values we get: $\text{Density} = \frac{128 ext{ g}}{64 ext{ cm}^3} = 2 ext{ g/cm}^3$

Step 3

Which glass (A, B or C) contains the egg with the greatest density?

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Answer

The glass that contains the egg with the greatest density is C. This can be inferred from the observation that the egg in glass C sinks the most, indicating it has the highest density compared to the eggs in glasses A and B.

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