At the school sports day, the winning relay team is presented with a small wooden trophy in the shape of a cube. Each edge of the trophy measures 5 cm, as s...

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

Question 1 Report

At the school sports day, the winning relay team is presented with a small wooden trophy in the shape of a cube. Each edge of the trophy measures 5 cm, as shown in the diagram.

5 cm5 cm5 cm© EAGLE BEACON GLOBAL

Work out the volume of the trophy. (2)

Answer Details

A cube has all three dimensions equal, so its volume is simply the edge length multiplied by itself three times.

With edge length 5 cm:

\[5 \times 5 \times 5 = 125 \text{ cm}^3 \quad \textbf{[2 marks]}\]

Exam tip: a cube's volume formula, \(a^3\), is a special case of the cuboid formula \(l \times w \times h\) where all three lengths happen to be equal.

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