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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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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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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Surface Area to Volume Ratio and the Relation to the Rate of Diffusion Aim and Background This is an experiment to examine how the Surface Area / Volume Ratio affects the rate of diffusion and how this relates to the size and shape of living organisms. 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
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Background information: 1) What is diffusion? Movement of a particular type of molecule from an area of high concentration to an area of low concentration. 2) How is diffusion used by living cells? Living cells bring in food‚ water and oxygen‚ and excrete wastes through the process of diffusion 3) List two body systems in vertebrates that are dependent on diffusion Digestive system and respirational system 4) What is meant by the term metabolism the chemical processes that occur within a
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increase‚ which means that more substances have to be taken in and to also be removed. This is where the surface area to volume ratio comes into place; the reason why this ratio is so important is because the surface area of a cell essentially affects the rate of the transferring of useful substances (through diffusion and osmosis etc.) in and out of the organism. On the other hand‚ the total volume of the organism also affects the rate of the making of material inside the cell and the ability to hold
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Previous exam questions on area between functions and volumes of solids. 1. Let f(x) = cos(x2) and g(x) = ex‚ for –1.5 ≤ x ≤ 0.5. Find the area of the region enclosed by the graphs of f and g. (Total 6 marks) 2. Let f(x) = Aekx + 3. Part of the graph of f is shown below. The y-intercept is at (0‚ 13). (a) Show that A =10. (2) (b) Given that f(15) = 3.49 (correct to 3 significant figures)‚ find the value of k. (3) (c) (i) Using your value of k‚ find f′(x). (ii) Hence
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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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Investigating the effect of surface area to volume ratio on Osmosis As far as living organisms are concerned‚ they are all made up of cells whereas‚ the membrane surrounds all those cells. The cell membrane has the key responsibility to maintain a stable interval environment. Even though‚ Cell membrane is made up of phospholipids bilayer and has that great amount flexibility making it unbreakable while transportation of substances. However‚ certain substances such as‚ dissolved gases‚ sugars‚ salt
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The Effect of Changing the surface area on the Rate of Reaction? By : 22/10/2013 The effect of changing the surface area on the rate of reaction? Unit Question: Should we speed things up or slow them down? Hypothesis: According to collision theory‚ should the surface area increase the amount of collisions increase increasing the rate of reaction. Therefore‚ my hypothesis is that when the surface area increases
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