Two views of a trapezoidal prism are shown below.
Each square on this grid has an area of one square centimetre.
The vertical edges of the prism are 5 centimetres.
- What is the area of the shaded cross-section in square centimetres? (2 marks)
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- What is the volume of the prism in cubic centimetres? (2 marks)
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Show Worked Solution
a. \(\text{The area of the cross-section (trapezium)}\)
\(=14\ \text{squares}+8\ \text{triangles}\ (1\times 1) + 1\ \text{triangle}\ (1\times 4)\)
\(=14+(8\times \dfrac{1}{2})+2\)
\(=20\ \text{cm}^2\)
| b. | \(\text{Volume}\) | \(=Ah\) |
| \(=20\times 5\) | ||
| \(=100\ \text{cm}^3\) |