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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.
Slide 2 - What are some geometric shapes?
- Geometric shapes are basically just 3d shapes. These are some geometric shapes.
- Rectangular prism
- Triangular prism
Slide 3 - Triangular prism
- A Triangular prism has 5 sides, and 6 vertices. You can think of a triangular prism as a half cube.
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.
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.
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.
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.
Slide 8 - What shapes can you see in my toilet?
Slide 9 - Shapes that make up my toilet
- Rectangular prism
- Triangular Prism
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.
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
Slide 12 - Quick quiz
Slide 13 - A quick video and game on how to calculate volume
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
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
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
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
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
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
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
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
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
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
Slide 24 - YAY, you made it to the end, I r8 you 8 out of 8 and more if you can compens8 what I said m8s