000234333 EFT4: Math: Task 5: Surface Area of Cubes Introducing Surface Area For a fifth or sixth grade class to understand the concept surface area in relation to a cube they need to understand what a cube is first. They will learn that a cube is a special type of rectangular solid. The length‚ width‚ and height of a cube are exactly the same. After explaining what a cube is they will need to understand what it means to find the surface area. The surface area is not the same as finding the volume
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Surface area Surface area is the measure of how much exposed area a solid object has‚ expressed in square units. Mathematical description of the surface area is considerably more involved than the definition of arc length of a curve. For polyhedra (objects with flat polygonal faces) the surface area is the sum of the areas of its faces. Smooth surfaces‚ such as a sphere‚ are assigned surface area using their representation as parametric surfaces. This definition of the surface area is based on methods
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Formulas of Surface area and Lateral surface area of Polyhedrons LSA or Lateral Surface Area refers to the sum of the areas of all the faces of a three-dimensional figure‚ excluding its bases. SA or Surface Area- refers to the sum of the areas of all the faces of a three-dimensional figure. It also referred to as the Total Surface Area (TSA). ~~~~~~~~~~~~~~~~~~~ For Rectangular Prism LSA= P(h) *where P=perimeter of the base ; h= measurement of the height SA= 2B+ LSA *where
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AREA (i) The area of a rhombus is equal to the area of a triangle whose base and the corresponding altitude are 24.8 cm and 16.5 cm respectively. If one of the diagonal of the rhombus is 22 cm‚ find the length of the other diagonal. (ii) The floor of a rectangular hall has a perimeter 250m. If the cost of paining the four walls at the rate of Rs 10 per m2 is Rs 1500. Find the height of the hall. (iii) A room is half as long again as it is broad. The cost of carpeting the room at Rs
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Surface area / Volume ratio Experiment Introduction: The surface area to volume ratio in living organisms is very important. Nutrients and oxygen need to diffuse through the cell membrane and into the cells. Most cells are no longer than 1mm in diameter because small cells enable nutrients and oxygen to diffuse into the cell quickly and allow waste to diffuse out of the cell quickly. If the cells were any bigger than this then it would take too long for the nutrients and oxygen to diffuse into
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Section Question 1. a) What number must be subtracted from 2x3 – 5x2 + 5x so that the resulting polynomial has a factor 2x – 3 ? [3] b) D‚ E‚ F are mid points of the sides BC‚ CA and AB respectively of a Δ ABC. Find the ratio of the areas of Δ DEF and Δ ABC. [3] c) A man borrowed a sum of money and agrees to pay off by paying Rs 3150 at the end of the first year and Rs 4410 at the end of the second year. If the rate of compound interest is 5% per annum‚ find the sum borrowed
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|Subject: Surface area of a sphere | A connection which could be illustrated‚ and could be understood by students who know the perimeter of a circle‚ runs as follows: Put the sphere of radius R inside a cylinder‚ with the cylinder just touching the equator‚ and cut off at the height of the top and bottom of the sphere. (A cutaway view is in the diagram.) [pic] What is the area of the curved part of
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Surface Area Formulas In general‚ the surface area is the sum of all the areas of all the shapes that cover the surface of the object. Cube | Rectangular Prism | Prism | Sphere | Cylinder | Units Note: "ab" means "a" multiplied by "b". "a2" means "a squared"‚ which is the same as "a" times "a". Be careful!! Units count. Use the same units for all measurements. Examples |Surface Area of a Cube = 6 a 2
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Intro: Surface Area and Volume Multiple Choice Identify the choice that best completes the statement or answers the question. Find the surface area of the space figure represented by the net. ____ 1. 12 in. 4 in. 6 in. 4 in. 4 in. 6 in. a. 288 in.2 ____ 2. b. 144 in.2 c. 240 in.2 d. 288 in.2 5 cm 5 cm 7 cm 8 cm 4 cm ____ a. 124 cm2 b. 110 cm2 c. 150 cm2 d. 164 cm2 3. Find the surface area of the cylinder. Use a calculator. Round to the nearest tenth. 4m 3m a
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Mathematics Volume of Solids Formulae for Volume of Solids Cube | Cuboid | Triangular Prism | Cylinder | Cone | Pyramid | Sphere | AnyPrism | s3 | lwh | ½bhl | Πr2h | 1/3πr2h | 1/3Ah | 4/3πr3 | Ah | A = area of the base of the figure s = length of a side of the figure l = length of the figure w = width of the figure h = height of the figure π = 22/7 or 3.14 1. Compute the volume of a cube with side 7cm. Volume of cube: s3 s = 7cm s3 = (7cm x 7cm x 7cm) = 343cm3 2. Compute
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