9. Stephen is making a display board for the Science department. The display board is 4·5 m by 620 cm. He wants to add a ribbon border around the entire display board.


The ribbon costs €1·80 per metre, and you can only purchase it in lengths of 1 m (e.g. if you need 1·3 m you must purchase 2 m of ribbon). (i) How many metres of ribbon must Stephen buy? (ii) How much will it cost to purchase a ribbon to put around the Science display board?


10. Jodie saw a strange old bicycle at the museum. It had one very big wheel and one very small one. It was called a ‘Penny Farthing’. Jodie looked it up on the internet and found that the big wheel has a diameter of 132 cm and the small wheel has a diameter of 46 cm.


(i) What is the circumference of the big wheel? Give your answer to one decimal place.


(ii) How many times must the cyclist turn the big wheel to travel 1 kilometre? Give your answer to one decimal place.


(iii) How many times does the small wheel turn when the cyclist has travelled 1 kilometre?


11. A rectangle has an area of 16 cm2 .


(i) Draw and label three diff erent rectangles that could have this area. (ii) In natural numbers, what is the smallest perimeter that this rectangle could have?


1 km = 100 000 cm


17.2 Nets and surface area of rectangular solids


Most products are packaged in boxes or cans. Think about how a box or can is made. How do you think the manufacturer chooses the shape and style of package?


Cardboard boxes used by companies such as pizza shops, are usually shipped fl at, and then folded into the shape of the box.


This fl attened version is known as the net of the solid.


A net is a shape in 2D that you can cut and fold to make a solid 3D solid.


The diagram below shows a 2D net of a rectangular solid folded into a 3D rectangular solid.


By the end of this section you should:


● be able to match the net of a rectangular solid to the 3D solid


● understand how to draw the net of a rectangular solid


● be able to calculate the surface area of a rectangular solid


2D net of solid


Folding the net


3D solid Section B Moving forward 269


17 Area, volume and surface area


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