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

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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=limeswimeshV = l imes w imes h

Where:

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

Substituting in the values:

V=8extcmimes2extcmimes4extcm=64extcm3V = 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 (ρ\rho) is calculated using the formula:

ρ=massvolume\rho = \frac{mass}{volume}

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

ρ=128g64cm3=2g/cm3\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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