Worksheet 8c - MATHS

Activity 1: Group work-Designing a packaging for the model 1.1 A company has asked you to design an attractive box to fit or display a similar device circuit that you have designed. They have these prerequisites: The faces of the box must be rectangular and the box must be open on the top for people to easily see the circuitry device. One pair of opposite faces of the box must have circular openings that will serve as handles. The circular openings must be on the faces with equal dimensions

EO

Considerations when designing the packaging should be given to the following:

1. The height of the box should be 60 cm

ii) The lenght and breadth of the box is 20cm more than the height

iii) The distance between the circumference of the circular openings and the vertex of the box should be 35,5 cm.

iv) The centre of the circle should be at the midpoint of the diagonal (Use It≈) 22 7

v) For proper design the box should have overlapping flaps to glue the faces

N.B. Use recyclable material

a) Draw the shape of the box and show the opened side with dots. N.B. The ratio of the real box to the drawing of the box should be 10 cm : 1cm Worksheet 8c - MATHS

b) Calculate the total surface area for the box using the real values.

(7)

c) Classify what prism is the box? Justi fy your answer.

(4)

Activity 2: Group work

2.1 What volume of paint will be needed to paint your packaging if about 100 ml of paint is needed to cover 1 square metre per coa ng? N.B. For the purpose of durability of the packaging, the paint should be applied on the interior and the exterior part of the packaging including underneath. (7)