NSC Mathematical Literacy Measuring volume and capacity: During winter many children deve

Question

During winter many children develop coughs. Cough syrups are sold in bottles packed in rectangular prism-shaped boxes.
Children are given cough syrup using a cylindrical measuring cup.
The diagrams below show the bottle, the box and the measuring cup.

**PICTURE OF A COUGH SYRUP BOX AND A BOTTLE OF SYRUP**  
**DIMENSIONS OF A RECTANGULAR COUGH SYRUP BOX**  
**SKETCH OF A CYLINDRICAL MEASURING CUP**

Total surface area of a rectangular prism:  
$2(length 	imes width) + 2(length 	imes height) + 2(width 	imes height)$  
Volume of a rectangular prism = length 	imes width 	imes height  
Total surface area of cylinder = $2(\pi 	imes radius^2 ) + (2 	imes radius 	imes height)$  
Volume of a cylinder = $\pi 	imes radius^2 	imes height$  
Use: $\pi \approx 3,142$  
1m$^3$ = 1000 cm$^3$

Use the information above to answer the questions that follow.

During winter many children develop coughs - NSC Mathematical Literacy - Question 2 - 2019 - Paper 2

Worked Solution & Example Answer:During winter many children develop coughs - NSC Mathematical Literacy - Question 2 - 2019 - Paper 2

(c) Calculate (in cm) the height of the medicine measuring cup if the diameter is 2.52 cm and the volume is 10 mₗ.

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