Question: GRADE 12
MATHEMATICAL LITERACY
PORTFOLIO TASK
2.2 The Epicon Marine Finish paint is used to paint the containers has a spread rate
of 8m² per litre. Calculate the amount of paint required to paint the shipping
container with two coats. (3)
2.3The Epicon Marine Finish paint is sold at R1154, 71 per litre can 5 Litre can.
Calculate the cost to paint storage containers with the marine finish paint. (5)
2.4 Determine the number of tanks that can be placed inside the tank. (2)
1. **Problem 2.2:** Calculate the amount of paint required to paint the shipping container with two coats.
- Given: Spread rate = $8\text{ m}^2$ per litre, two coats means the total area to be painted is doubled.
- Let the surface area of the container be $A$ (in $\text{m}^2$).
- Total area to paint = $2 \times A$ (because of two coats).
- Amount of paint required $= \frac{2A}{8} = \frac{A}{4}$ litres.
2. **Problem 2.3:** Calculate the cost to paint storage containers with the marine finish paint.
- Paint price per 5 litre can = 1154.71
- Price per litre $= \frac{1154.71}{5} = 230.942$ (rounded to 3 decimals).
- Amount of paint required from 2.2 is $\frac{A}{4}$ litres.
- Number of cans needed $= \frac{\frac{A}{4}}{5} = \frac{A}{20}$ cans.
- Since cans must be whole, round up to nearest whole number: $\lceil \frac{A}{20} \rceil$.
- Total cost $= 1154.71 \times \lceil \frac{A}{20} \rceil$.
3. **Problem 2.4:** Determine the number of tanks that can be placed inside the tank.
- Let the volume of the large tank be $V_L$ and the volume of one small tank be $V_S$.
- Number of small tanks $= \left\lfloor \frac{V_L}{V_S} \right\rfloor$ (integer division).
**Note:** The exact values of $A$, $V_L$, and $V_S$ are not provided in the prompt, so the answers are expressed in terms of these variables.
---
**Final answers:**
- Amount of paint required $= \frac{A}{4}$ litres.
- Cost to paint $= 1154.71 \times \lceil \frac{A}{20} \rceil$.
- Number of tanks inside $= \left\lfloor \frac{V_L}{V_S} \right\rfloor$.