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Foundation November 2020 Paper 2 Q13

EduqasFoundationCurrent spec2 marksVolume & Surface Area

13.

(a)

This solid prism is made from identical cubes. Each cube has sides of length 1 cm.

Diagram: a stepped solid prism made of 1 cm cubes: a bottom layer 4 cubes long and 3 cubes deep, with a second layer 4 cubes long and 2 cubes deep on the back two rows

Give the dimensions of a cuboid that could be made with the same number of cubes. [1]

(b)

The total surface area of a different cube is 144 cm\(^2\).

Diagram: a cube

To work out the side length of this cube, Mai does the following calculations:

\(\sqrt{144} = 12\)
\(12 \div 6 = 2\)

Mai’s method is incorrect.

Explain the mistake that Mai has made. [1]