Capacity Volume is the amount of space an object occupies. Capacity is how much an object can hold. Capacity is often measured in litres (L or mL or KL or ML or GL) ×1000 ×1000 ×1000 ×1000 mL L KL ML GL ÷1000 ÷1000 ÷1000 ÷1000 1cm3 = 1mL 1m3 = 1KL (or 1000L) 1L of water weighs 1Kg 1KL of water weighs 1T

Example 1 Find the capacity of a Coke can with radius 3·1cm and a height of 12·5cm. V = πr2h = π × 3·12 × 12·5 = 377·4 cm3 = 377.7 mL

Example 2 Calculate the capacity of the swimming pool below in KL. 9m V = AH You may want to calculate the area first A = ½(a + b)h = ½ × (5 + 9) × 2 = 14 = 14 × 6 = 84m3 = 84KL

Example 3 A timber box is made with wood 1cm thick. If the outside dimensions of the box are 8cm by 15cm by 10cm, a) What is the volume of the box? b) What are the internal dimensions of the box? c) What is the capacity of the box? d) What is the volume of timber in the box? a) V = LBH = 8 × 15 × 10 = 1200 cm3 d) Timber = Volume – Capacity = 1200 – 624 = 576cm3 b) 6cm by 13cm by 8cm c) Capacity = LBH = 6 × 13 × 8 = 624 cm3

Today’s work Exercise 6G page 216 Q1, 3, 5, 7, 9, 11, 13