Matthew's toilet

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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.
 Cube
 Hemisphere
 Sphere
 Cone
 Cylinder
 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
 Hemisphere
 Cube
 Cylinder
 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