# Matthew's toilet

Created 2 years ago

Duration 0:02:40
16
Slide Content
1. ### Slide 1 - Math 3 Geometric shapes project

• In Math 3 Our teacher started us on a project to make a everyday object out of geometric shapes. Our projects ranged from Pigs to guitars, I chose to take on a toilet.
2. ### Slide 2 - What are some geometric shapes?

• Geometric shapes are basically just 3d shapes. These are some geometric shapes.
• Cube
• Hemisphere
• Sphere
• Cone
• Cylinder
• Rectangular prism
• Triangular prism
3. ### Slide 3 - Triangular prism

• A Triangular prism has 5 sides, and 6 vertices. You can think of a triangular prism as a half cube.
4. ### Slide 4 - Cube

• A Cube has 6 sides and 8 vertices, some things that are in a shape of a cube are: sugar cubes, boxes, so on.
5. ### Slide 5 - Rectangular prism

• A rectangular prism has 6 sides and 8 vertices, some everyday objects that are a rectangular prism consist of: a refrigerator, a door, and a computer.
6. ### Slide 6 - Sphere/Hemisphere

• A sphere, has no sides or vertices. And a hemisphere has 1 side and no vertices. Some things that are a sphere and a hemisphere are a globe, a hill, and a umbrella.
7. ### Slide 7 - Cylinder

• A cylinder has 2 sides and no vertices, some everyday objects that are a cylinder are: a can, a pole, a beaker.

9. ### Slide 9 - Shapes that make up my toilet

• Hemisphere
• Cube
• Cylinder
• Rectangular prism
• Triangular Prism
10. ### Slide 10 - Calculating the volume for our shapes and how does it relate to everyday life

• *One of the requirements for our project is to calculate the volume and surface area of our shape. *But how does this relate to everyday life?
• *well for starters this tells us how much stuff you can fit into something, for ex: how much water you can fit into a water bottle.
11. ### Slide 11 - What is volume? And why is it important?

• Volume is how much space in a object. For example a water bottle has a volume of 200 in^3 which means that you can put 200 in^3 of water in that bottle

14. ### Slide 14 - How to calculate the volume for a rectangular prism

• The equation to calculate the volume is L*W*H
• So if we plug the lengths in would be, 6*6*10 which is 360 in^3
15. ### Slide 15 - How to calculate the volume for a hemisphere

• The equation for finding the volume of a hemisphere is
• 2/3 3.14 r^3
• So it would be 2/3*3.14*8^3 which is 1061.07 in^3
16. ### Slide 16 - How to calculate the volume of a rectangular prism

• To find the volume of a rectangle is L*W*H, so it would be
• 12*12*18= 2592 in^3, but since the hemisphere is in the rectangle we would have to subtract the volume of the rectangle from the volume of the hemisphere so it would be 2592- 1061.07 which equals 1530.93 in^3
17. ### Slide 17 - How to calculate the volume of a cylander

• Volume= 3.14*r^2*H
• So the equation will be, 3.14*1.75*21
• So the volume will be 115.395 in^3
18. ### Slide 18 - How to calculate the volume for a triangular prism

• V= 1/2(BHW)
• So the equation will be ½(0.5*2*2)
• So the volume will be 1 in^3
19. ### Slide 19 - What is surface area? And how does this affect me?

• Surface area is how much “skin” as you will, is on an object.
• This can affect you by how much of a object you have. For example if you have an object with 75 in^2 surface area you know you cannot fit it into a box that can hold 74 in^2 of surface area
20. ### Slide 20 - Calculating the surface area of a hemisphere

• The equation for calculating the surface area of a hemisphere is 1/2 (4πr²)
• So if we plug in the dimensions it would be
• ½(4*3.14*4^2) which is 100.48 in^2
21. ### Slide 21 - Calculating the surface area of a rectangular prism

• The equation to calculate surface area is 2(B*H) + 2(H*W) + 2(W*B)
• So if we plug in the dimensions into the equation it will be, 2(12*18) + 2(18*12) + 2(12*12)
• So the surface area is 1152in^2 but since there is a hemisphere in this rectangle we have to subtract the surface are from the surface area of the hemisphere which is, 100.48 in^2, so the surface area of the rectangle will be 1051.52 in^2
22. ### Slide 22 - How to calculate the surface area for a triangular prism

• The equation to find the surface area is B*H + B*W + W*H
• So if we plug in the dimensions of the triangle, the equation will be
• 2*0.5 + 2*2 + 2*0.5, so the surface area will be, 6 in^2
23. ### Slide 23 - How to calculate the surface area of a rectangular prism

• The equation to calculate the surface area of a ratancular prism is 2(LW) + 2(LH) + 2(WH) = surface area
• So it would be 2(10*6) + 2(10*6) + 2(6*6) which is: 120+120+72= 312
• So the surface area is 312 in^2