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A solid metal block has mass 500g and volume 125cm³ - OCR - GCSE Maths - Question 4 - 2018 - Paper 5

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Question 4

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A solid metal block has mass 500g and volume 125cm³. Work out the density of the block. Give the units of your answer.

Worked Solution & Example Answer:A solid metal block has mass 500g and volume 125cm³ - OCR - GCSE Maths - Question 4 - 2018 - Paper 5

Step 1

Work out the density of the block.

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Answer

To calculate the density of the block, we use the formula:

ho = rac{m}{V}

where:

  • ho ho is the density,
  • mm is the mass (500 g), and
  • VV is the volume (125 cm³).

Now substituting the values:

ho = rac{500 ext{ g}}{125 ext{ cm}^3} = 4 ext{ g/cm}^3

The density of the block is therefore 4 g/cm³.

Step 2

Give the units of your answer.

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Answer

The units of the density obtained are grams per cubic centimeter (g/cm³).

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