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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relationship between surface area : volume ratio and heat loss. INTRODUCTION: The aim of this experiment is to investigate and find the relationship between heat loss (of water) and surface area to volume ratio of animals. To investigate this‚ we are going to use three flasks of different volume (as the equivalent the animals) and thus different surface areas filled with water. BACKGROUND: Surface Area : Volume Ratios We will be using the following formula for calculating SA:Vol ratios: SA : Vol Vol
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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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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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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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_ Dimensions For Experiment 3 Cubes with sizes A) 0.5 cm B) 1.0 cm C) 2.0 cm Experimental Evidence: 1. Using a razor blade and paper towels‚ carefully cut 3 potato cubes using the dimensions from above. 2. Obtain TEACHER’S SIGN-OFF BEFORE you proceed! 3. Submerge the potato cubes (cells) into the iodine solution for 20 minutes. 4. While you are waiting for 10 minutes‚ calculate the surface area‚ volume‚ and surface area to volume ratio for each of the 3 potato cubes (cells)
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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
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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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