Download
1 / 8
100 likes | 373 Vues
Square & rectangle. A Square is a shape with four equal straight sides and four right angles. A Rectangle is a very similar shape to the square. It is a shape with four straight sides and four right angles, one with unequal adjacent sides, in contrast to a square .
E N D
Square & rectangle • A Square is a shape with four equal straight sides and four right angles. • A Rectangle is a very similar shape to the square. It is a shape with four straight sides and four right angles, one with unequal adjacent sides, in contrast to a square. • They are both quadrilateral shapes, meaning they have four sides. Square Rectangle
How to find the Perimeter and area of a square and rectangle • To find the perimeter of a square and rectangle all you must do is simply add all the sides together of the shape and that will give you the perimeter of the shape. • To find the area of a square and rectangle all you need to do is multiply the sides of the length and width together and that will give you the area. Remember that area comes in the unit cubed (ex. m²) 7 10 7 7 7 7 7 10 Perimeter: Add all the sides (7+7+7+7) which = 28. Formula: P=4L Perimeter: Add all the sides (7+7+10+10) which = 34. Formula: P=2(L + W) Area: Length x width (7x7) which = 49. Formula: A=L x W Area: Length x width (7x10) which = 70. Formula: A=L x W
Cube and Rectangular prism • The cube is the three dimensional (3D) version of the square, and the rectangular prism is the three dimensional (3D) version of the rectangle. It’s as simple as that. Square Rectangular Prism
How to find the Volume of a cube and rectangular prism • To find the Volume of a rectangular prism and cube you take the area of the ‘end’ which is the side that is consistent throughout the whole shape and multiple the ends area by the height it runs through. This will give you the volume. Although in a cube it’s the same except all the sides are an end because they are all the same so you can use any and then multiply by the height. Remember that volume comes in the unit cubed (ex. m³) Height Height End End So, If the area of the end on the rectangular prism above is 10m² and the height is 100m then the volume would equal 1000m³ (10x100= 1000) If the area of the end on the cube above is 25m² and the height is 5m then the volume would equal 125m³ (25x5=125)
How to find the Surface area of a cube and rectangular prism • The surface area is very easy to find in a cube and rectangular prism. All you must do is find the area of every side and add them together and that will give you the surface area of the shape. c a b So, If the area on each side of the cube is 25m², multiply that by 6 (because there are six sides in a cube) and you would get the surface area which is 150m² (25x6=160) Now, for a rectangular prism since there are three different parts of a rectangular prism they each have different areas. Just like the cube we would add them all together to get the surface area of the shape. So if a=10 c=25 and b=30 the surface area would equal 130. (2a+2c+2b=130)
Using your knowledge • We could use our knowledge that we have just learnt to find the surface area and volume of the plenty of buildings. The Kaaba, which translates to “The Cube” is a cuboid building in Mecca, Saudi Arabia. It is one of the most sacred sites in Islam and most holiest and important. We can use our knowledge to find the Surface Area and Volume of this holy and sacred building.
The Kaaba • The Kaaba is about 14m high and each side is about 12m. Using this information, the area of each side will be about 168m² (12x14). To get the surface area from that we simple multiply it by 6, which gives us a surface area of 1008m² (168x6). To find the volume we take the area of the end, which would be 168m² and multiply it by the height, which is 14 which then gives us the volume of 2352m³ (168x14) • There you have it, we used our knowledge to solve and find out a the surface area and volume of the Kaaba. We can use this knowledge to solve many more things and it’s very useful in our everyday life.
Reflection • My answers and knowledge in this topic have shown to make sense and are correct. We need to have the most accurate possible answers and results when solving these kind of problems because it is very crucial. An example of using this in the real world would be for plenty of different things. Volume could be needed to know how much water is required to fill the volume of an empty pool. Surface area would be needed to actually know how much surface area there is for some things like scientific reactions. The area and perimeter are also important and beneficial. We use this knowledge a lot in our everyday life and it benefits us greatly in doing things and solving problems. You need to be accurate and use the correct unit of measurement to fit perfectly with the case and context of the issue. Accuracy is very important in this unit and we want go get as accurate as possible although there can be percentage error because we don’t have the exact values in our data and that could drop the accuracy. If we estimate our phone is 7cm long but in reality its 7.45cm for example there's a lot of room for percentage error and that tiny mistake brings about 6.4% percentage error which is quite a high amount. I think to improve on my project, more examples of real life could have been added to show the audience its true importance of the math behind it and what it can solve for us.
