On the morning of the June 23,2000 , the MV Treasure - a bulk ore carrier - sank off the west coast of South Africa, causing a major oil spill. The MV Treasure had 1344 metric tonne of heavy fuel oil on board, as well as 56 metric tonne of marine diesel and 64 metric tonne of lubrication oil. All of this fuel except for 205 metric tonne of the heavy fuel oil ended up in the cean, in the area between Robben Island (near Cape Town) and Dassen Island off the coast of the West Coast National Park). How many tonne of fuel spilt into the ocean during this disaster? If one metric tonne is 1000 litres, convert the answer in \( 4 . a \) to litres. Convert the answer in \( 4 . b \) to cubic metres. ( 1 litre \( =1000 \mathrm{~cm}^{3} \) ) If this volume of fuel was to be poured into a rectangular prism with the base having the same dimensions as a soccer field, calculate the height of the volume of fuel in centimetres. (The dimensions of a soccer field are approximately 105 m by 69 m ; the volume of a rectangular prism \( = \) length \( \times \) width \( \times \) height.)

Let's break down each part of the problem step by step. ### **4.a. Total Tonnes of Fuel Spilled** **Given:** - **Heavy Fuel Oil on board:** 1,344 metric tonnes - **Marine Diesel on board:** 56 metric tonnes - **Lubrication Oil on board:** 64 metric tonnes - **Heavy Fuel Oil remaining:** 205 metric tonnes **Calculation:** 1. **Total Fuel on Board:** \[ 1,344 \, \text{tonnes} + 56 \, \text{tonnes} + 64 \, \text{tonnes} = 1,464 \, \text{tonnes} \] 2. **Total Fuel Spilled:** \[ 1,464 \, \text{tonnes} - 205 \, \text{tonnes} = 1,259 \, \text{tonnes} \] **Answer:** **1,259 metric tonnes** of fuel were spilled into the ocean. --- ### **4.b. Conversion to Litres** **Given:** - **1 metric tonne = 1,000 litres** **Calculation:** \[ 1,259 \, \text{tonnes} \times 1,000 \, \frac{\text{litres}}{\text{tonne}} = 1,259,000 \, \text{litres} \] **Answer:** **1,259,000 litres** of fuel were spilled. --- ### **4.c. Conversion to Cubic Metres** **Given:** - **1 litre = 1,000 cm³** - **1 cubic metre (m³) = 1,000 litres** **Calculation:** \[ 1,259,000 \, \text{litres} \div 1,000 = 1,259 \, \text{m}³ \] **Answer:** **1,259 cubic metres (m³)** of fuel were spilled. --- ### **4.d. Height of Fuel in a Rectangular Prism** **Given:** - **Base Dimensions of Soccer Field:** 105 meters (length) × 69 meters (width) - **Volume of Fuel:** 1,259 m³ **Calculation:** 1. **Calculate Base Area:** \[ 105 \, \text{m} \times 69 \, \text{m} = 7,245 \, \text{m}² \] 2. **Calculate Height:** \[ \text{Height} = \frac{\text{Volume}}{\text{Base Area}} = \frac{1,259 \, \text{m}³}{7,245 \, \text{m}²} \approx 0.1737 \, \text{meters} \] 3. **Convert Meters to Centimeters:** \[ 0.1737 \, \text{meters} \times 100 \, \frac{\text{cm}}{\text{meter}} = 17.37 \, \text{cm} \] **Answer:** The height of the fuel would be approximately **17.4 centimeters**. --- ### **Summary of Answers** 1. **Total Fuel Spilled:** 1,259 metric tonnes 2. **In Litres:** 1,259,000 litres 3. **In Cubic Metres:** 1,259 m³ 4. **Height in a Soccer Field-Shaped Prism:** 17.4 cm