Question 3

Use the information above to answer the questions that follow. 

3.1.1 Calculate the minimum number of balloons required for all the centrepieces. (2) 

3.1.2 Each vase will have a decorative ribbon around it. The ribbon will overlap 1 cm. 

Calculate the minimum length of decorative ribbon needed to decorate ONE rectangular vase.

You may use the following formula: Length of decorative ribbon (in cm) = 2 * (length + width) +1  (3)

3.1.3 Calculate (in cm) the volume of the cylindrical vase.

You may use the following formula:

Volume of a cylinder = < (radius)? x height, using a = 3,142 (3)

3.1.4 The volume of the rectangular vase is 1 680 cm. 

• 45% of the vase will be filled with sand.

• The mass of 1 cm’ of sand is 1,53 g.

Calculate (in kg, rounded off to TWO decimal places) the mass of sand required for ONE rectangular vase. (4)

3.2.1 Calculate (in cm?) the area of ONE triangular face of the gift box. (3)

You may use the following formula: 


3.2.2 Hence, determine the total surface area (in cm) of the box. 

You may use the following formula: 

Total surface area of a triangular prism = 2 * (area of triangular face) + 3 x length x width  (4)

3.2.3 It takes 30 minutes to cover 20 boxes with foil. 

Calculate (in seconds) the average time it will take to cover ONE box with foil. (2)


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