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.

Slides:



Advertisements
Similar presentations
Finding Surface Area Step 1: Flatten the 3-D figure A rectangular prism will flatten to 6 rectangles. Depending on the dimensions of the 3-D figure, you.
Advertisements

Surface Area and Volume Please view this tutorial and answer the follow-up questions on loose leaf to turn in to your teacher.
3 Dimensional objects… Miss Hudson’s Maths.
Geometry Final Test Ms. Rowles’ Class.
Surface Area and Volume
Volume.
Volume of Prisms In addition to 3, student will be able to go above and beyond by applying what they know about volume of cones, spheres and cylinders.
SURFACE AREA & VOLUME.
Volumes Lesson
Finding the Volume of Solid Figures MCC6.G.2 – Find the volume of a right rectangular prism with fractional edge lengths by packing it with unit cubes.
Perimeter Area Volume.
Do now: These cuboids are all made from 1 cm cubes
Volume and Surface Area of a Triangular Prism. A triangular prism is a three- sided polyhedron with two parallel triangular bases and three rectangular.
Today, I will learn the formula for finding the area of a rectangle.
VOLUME OF RECTANGULAR PRISMS. No tutoring tomorrow.
Definitions and formulas for the shapes you love Perimeter and Area.
Surface Area of Rectangular Prisms 1.How many outside surfaces does a rectangular prism have? 2.What shape are each of the faces? The six rectangular sides.
Fractions Decimals,& Percent Capacity, Surface Area, and Volume Expressions, Equations, and Inequalities GeometryDouble Jeopardy
The area of a rectangle equals its length times the width (base times the height). A = length x width = lw or A = base x height = bh Area of a Rectangle.
Measuring area & volume
Surface Area and Volume. Surface Area of Prisms Surface Area = The total area of the surface of a three-dimensional object (Or think of it as the amount.
Volume of 3-Dimensional Figures
Perimeter of Rectangles
Review To introduce approaches to working out perimeter, area and volume of 2D and 3D shapes. 2.
Scale Factor and the relationship to area and volume GLE SPI:
Rectangular Prism A solid (3-dimensional) object which has six faces that are rectangles. Volume = Length × Width × Height Which is usually shortened.
Volume of a Rectangular Prism
Unit 10-Day 1 Squares: Area and Perimeter
Surface Area of Prisms and Cylinders Retrieved from
Surface Area and Volume
Volume of Right Prisms Unit 4, Lesson 13.  Today’s standard: CCSS.MATH.CONTENT.7.G.B.6 Solve real-world and mathematical problems involving area, volume.
Surface Area of Prisms and Cylinders. Vocabulary A net is a pattern you can fold to form a three-dimensional figure. This is a net for a triangular prism.
VOLUME What is Volume?  Volume is the measure of the capacity of a container.
Surface Area and Volume. Day 1 - Surface Area of Prisms Surface Area = The total area of the surface of a three-dimensional object (Or think of it as.
Surface Area of a Rectangular Prism Day 1 (of 2).
Volumes Of Solids. 8m 5m 7cm 5 cm 14cm 6cm 4cm 4cm 3cm 12 cm 10cm.
Perimeter and Area Formulas.  Perimeter is the distance around an object. It is easily the simplest formula. Simply add up all the sides of the shape,
SURFACE AREA & VOLUME RECTANGULAR PRISM – AREA RECTANGULAR PRISM – VOLUME.
Finding Volume and Surface Area. Show What You Know What is volume? A measure of what is needed to cover a 3D shape A measure of what is needed to fill.
Perimeter & Area. Today’s Objectives:  Learn what it means to find perimeter and area.  Practice finding or estimating the perimeter and area.
7 th Grade Third Quarter Review: Standards: 7.2, 7.5, 7.6, 7.7, and 7.8.
VOLUME  Used to find the amount of liquid something can hold  Ex. the area of a swimming pool is the inside of the pool while the volume is the amount.
Unit 5 MEASUREMENT.
What is Volume? volume.
Volumes Of Solids. 8m 5m 7cm 5 cm 14cm 6cm 4cm 4cm 3cm 12 cm 10cm.
Perimeter & Area Mrs. Mitchell.
Surface Area and Volume
Area and Volume Area is the amount of space contained in a two-dimensional figure Volume is the amount of space in a three-dimensional figure.
S8 Perimeter, area and volume
Mathematics Volume.
Surface Area 7th Grade Math Obj. 4c.
Warm – Up: Wednesday 10/5 Describe the difference between the two rectangular prisms shown below The first one is a perfect cube because the measurements.
Shape and Space Cuboids The aim of this unit is to teach pupils to:
Square and Cube Roots.
two-dimensional shape.
Perimeter & Area Mrs. Mitchell.
Rectangles & Squares Daniela Gutierrez P1 11/6/15.
GEOMETRY UNIT.
Volume.
SURFACE AREA.
Area, Surface Area, Perimeter, Volume
Finding the Volume of Solid Figures
Scale Factor and the relationship to area and volume
G25 Surface area and volume
*Always measured in units cubed (u3)
By- Sabrina,Julianna, and Killian
What is area? The amount of space that a figure encloses
Surface Area of Prisms and Cylinders
Mod 28 F.
Perimeter, area and volume. A A A A A A Contents S8 Perimeter, area and volume S8.1 Perimeter S8.6 Area of a circle S8.2 Area S8.5 Circumference of a.
Presentation transcript:

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. SquareRectangle

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) Perimeter: Add all the sides ( ) which = 28. Formula: P=4L Perimeter: Add all the sides ( ) 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) End Height 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. 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) a b c

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.