A builder mixes a batch of concrete and pours it into a rectangular foundation strip. The strip is 2.5 m long, 1.2 m wide and 0.4 m deep. He needs the volum...

Assessment: Mathematics Specification A 4MA1 | Paper 2 Mock 01 | Written Paper 2 (2F/2H) Subject: Mathematics Specification A - 4MA1

Question 1 Report

A builder mixes a batch of concrete and pours it into a rectangular foundation strip. The strip is 2.5 m long, 1.2 m wide and 0.4 m deep. He needs the volume before ordering the ready-mixed delivery, since the supplier charges by the cubic metre.

  1. Work out the volume of concrete needed to fill the strip. (2)

Answer Details

The volume of a rectangular concrete foundation strip is found by multiplying its three dimensions together, exactly as for any cuboid.

Substituting the three dimensions:

\[V = 2.5 \times 1.2 \times 0.4\]

\[V = 1.2 \text{ m}^3\] [2 marks]

Exam tip: check that all three dimensions are already given in the same unit (here, metres) before multiplying, since mixing units would give a volume in the wrong scale entirely.

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