Packaging Flashcards
What is packaging?
We use packaging to store several items of the same kind.
Why do we study packaging?
We want to know the amount of material needed to package items.
What do we use to determine what package we use?
We want to use the least amount of material to make packages
What Maths topics must we recall to help us determine the type of package?
We need to know how to calculate total surface area of solids, such as cylinder, cuboids and cubes
What is the formula for total surface area of cubes?
Find the area of one square and multiply by six
What is the formula for total surface area of cuboids?
Find the area of each recatngle and multiply by 2, then add all three values
What is the formula for total surface area of cylinder?
Find the area of each circle and multiply by 2, the find the curved surface area and add both values
If you have a cookie in a shape of cylinder, how long will 20 cookies be?
20 * 1 cm = 20 cm
What is the total surface area of packing 20 cookies as a cylinder?
What is the total surface area of packing 20 cookies as a cuboid?
Total surface area = 2 * (6 * 6 + 6 * 20 + 20 * 6)
= 2 * (36 + 120 + 120)
= 2 * 256
= 512 cm2
Which packaging has less material?
A cylinder or cuboid
Cylinder
How many rectangular chocolate can fit into a box
21 cm by 10 cm by 1 cm
5 * 4 = 20
How many cubes can be pack into cuboid
10 cm by 10 cm by 20 cm
Since 10 cm can only fit 3 3cm
20 cm can only fit 6 3 cm
Number of cubes is 3 * 3 * 6 = 54
If we wish to pack 12 cookies in the cuboid
What is the value of x?
12 * 1 cm = 12 cm
If we wish to pack 12 cookies in the container
What is the value of x?
i can place 2 cookies in a row since the diameter of the container is twice the diameter of the cookie
3 * 12/2 = 18 cm
If we wish to pack 12 cookies in the prism
What is the value of x?
1.5 * 12 = 18 cm
