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Functional skills Project

Functional skills Project. Exploring Area & Volume . Height. Width. Depth. This is a cuboid, it has three “ Dimensions ” or lengths. They are. How wide the shape is How high the shape is How deep the shape is. Height. Width. Depth. Volume of the Cuboid.

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Functional skills Project

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  1. Functional skills Project Exploring Area & Volume

  2. Height Width Depth This is a cuboid, it has three “Dimensions” or lengths. They are... How wide the shape is How high the shape is How deep the shape is

  3. Height Width Depth Volume of the Cuboid..... Width x Height x Depth = Volume in m3

  4. 3 m 10 m 6 m Volume of the Cuboid..... 3m x 10m x 6m = 180 m3

  5. Height Width Depth For the Surface Area we find out how big the area of the surface is (just like it says on the tin!) 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.

  6. Front Top Left Right Back Calculate the area (Width x Height) of each of the 5 faces of the cuboid and then add them together. 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.

  7. 3 m 10 m 6 m Surface Area (remember no bottom) Top - 10m x 6m = 60 m2 Left - 3m x 6m = 18m2 Right - 3m x 6m = 18 m2 Front - 10m x 3m = 30 m2 Back - 10m x 3m = 30 m2 Total = 156 m2

  8. YOUR TURN 4 m 8 m 3 m Volume of the Shape Surface Area (remember no bottom) Volume = 4 m x 8 m x 3 m = 96 m3 Top - 8m x 3m = 24 m2 Left - 3m x 4m = 12 m2 Right - 3m x 4m = 12 m2 Front - 8m x 4m = 32 m2 Back - 8m x 4m = 32 m2 Total = 112 m2

  9. Mars Life on

  10. A SPACE STATION

  11. What Maths will you need in a colony on another planet?

  12. 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 areaof 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.

  13. You will need to complete this sheet using the plans of the new station.

  14. The Station Design

  15. 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 m2for 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.

  16. 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)

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