L.Obj: to explore area and volume Functional skills Project Exploring Area & Volume.

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Presentation transcript:

L.Obj: to explore area and volume Functional skills Project Exploring Area & Volume

L.Obj: to explore area and volume How wide the shape is How high the shape is How deep the shape is This is a cuboid, it has three “Dimensions” or lengths. They are... Height Width Depth

L.Obj: to explore area and volume Height Width Depth Volume of the Cuboid..... Width x Height x Depth = Volume in m 3

L.Obj: to explore area and volume 3 m 10 m 6 m Volume of the Cuboid m x 10m x 6m = 180 m 3

L.Obj: to explore area and volume We will not need to work out how big the Area of the base is in this task, because we only need the Area that is exposed to the rays of the Sun. For the Surface Area we find out how big the area of the surface is (just like it says on the tin!) Height Width Depth

L.Obj: to explore area and volume Top Front Back RightLeft In this task we will not need to know the area of the bottom because it is on the surface of the planet and not exposed to the harmful rays of the sun. Calculate the area (Width x Height) of each of the 5 faces of the cuboid and then add them together.

L.Obj: to explore area and volume 3 m 10 m 6 m Surface Area (remember no bottom) Top - 10m x 6m = 60 m 2 Left - 3m x 6m = 18m 2 Right - 3m x 6m = 18 m 2 Front- 10m x 3m = 30 m 2 Back - 10m x 3m = 30 m 2 Total = 156 m 2

L.Obj: to explore area and volume 4 m 8 m 3 m Volume of the Shape Volume = 4 m x 8 m x 3 m = 96 m 3 Surface Area (remember no bottom) Top - 8m x 3m = 24 m 2 Left - 3m x 4m = 12 m 2 Right - 3m x 4m = 12 m 2 Front- 8m x 4m = 32 m 2 Back - 8m x 4m = 32 m 2 Total = 112 m 2 YOUR TURN

L.Obj: to explore area and volume

A SPACE STATION

L.Obj: to explore area and volume What Maths will you need in a colony on another planet?

L.Obj: to explore area and volume You will be given the design of a new space station. It is made up of cuboids, and contains everything that will be needed for the 40 hardy volunteers to live on and thrive on a new planet, Veget. Your task is to calculate the surface area of the separate domes that will shield the colonists from radiation, the volume of air contained within the whole complex because the outside atmosphere is not breathable and the area of floor space contained inside the habitat shells where the first real Vegetarians will live.

L.Obj: to explore area and volume You will need to complete this sheet using the plans of the new station.

L.Obj: to explore area and volume The Station Design

L.Obj: to explore area and volume Task 2. The design team are not happy with their Station. Space U.K. Has agreed to fund additional radiation protective shielding up to a maximum of 3000 m 2 for you to increase the size of the colony. You can change all of the container sizes, with the exception that you may only increase the Heights Widths and Lengths. You need to get as many colonists living in the colony as possible.

L.Obj: to explore area and volume Task 3. Using your design and the original plan, provide the financiers of S.U.K. with details of how you have changed the living habitat. Compare the original design with your “improved” design by using percentages, fractions and decimals (answering the questions on task sheet 3 will help you to sell your design to the people with the money)