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)

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 * **(a****r****ea of tr****iangular ****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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