The local council builds a concrete bench in a public park. The bench is in the shape of a prism and the dimensions are shown in the diagram below.
Calculate the volume of the bench in cubic metres. (3 marks)
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\(\text{Convert measurements from cm to m before calculations}\)
| \(\text{Area of cross-section }\) | \(=\ \text{Rectangle + Triangle}\) |
| \(=(0.6\times 0.75)+(\dfrac{1}{2}\times 0.3\times 0.3)\) | |
| \(=0.45+0.045\) | |
| \(=0.495\ \text{m}^2\) |
| \(V\) | \(=A\times h\) |
| \(=0.495\times 1.2\) | |
| \(=0.594\ \text{m}^3\) |