Volume, SMB-004

Calculate the volume of earth that must be excavated so that the pool shell below fits exactly into the hole. All measurements are in metres. (3 marks)

--- 7 WORK AREA LINES (style=lined) ---

Show Answers Only

\(136.8\ \text{m}^3\)

Show Worked Solution

\(\text{The face of the pool is a rectangle and trapezium (composite).}\)

\(\text{Area (face)}\)	\(= (2.3 \times 4) + \dfrac{1}{2} h (a+b)\)
	\(= 9.2 + \dfrac{1}{2} \times 8 (2.3+1.1) \)
	\(=22.8\ \text{m}^2\)

\(\text{Volume}\)	\(=Ah\)
	\(=22.8 \times 6\)
	\(=136.8\ \text{m}^3\)