[ Volume of a pyramid = 1/3 × base area × perpendicular height ] [Figure 15.1 - Diagrams showing a solid pyramid L with a rectangular base (9cm by 12cm) and height 30cm. Also shown are a smaller pyramid M cut from L by a plane parallel to its base, and the remaining solid N.] The diagrams show a solid pyramid L cut into two parts, M and N, by a plane parallel to its base. The base of pyramid L is a rectangle 9cm by 12cm. The perpendicular height of pyramid L is 30cm.

1. (a)Work out the volume of pyramid L.[1]
2. (b)(i)The perpendicular height of pyramid M is 1/3 of the perpendicular height of pyramid L. Express the volume of M as a fraction of the volume of L.[1]
3. (b)(ii)Calculate the volume of the solid N.[2]

This question uses a diagram from the original paper, which isn't shown here. Open the full paper from the past papers archive to see it.