AC9M6SP01Year 6SpacePractised on site

AC9M6SP01 — Year 6 Space

Official Curriculum Content Description:

compare the parallel cross-sections of objects and recognise their relationships to right prisms

Worked Examples (1)

Example 1Prisms, Cross-Sections & Volume

A right-angled triangular prism of length

7\text{ cm}

has a volume of

672\text{ cm}^3

. What is the area of any parallel cross-section taken along its length, in

\text{cm}^2

Common mistake: Giving the volume instead of dividing by the length to find the cross-sectional area.

Correct Answer:96

Worked Solution:

1. In any right prism or cylinder, parallel cross-sections along its entire length are uniform and identical in area, so volume = cross-sectional area

\times

length. 2. Cross-sectional area = volume

\div

length =

672 \div 7 = 96\text{ cm}^2

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