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TABLE OF CONTENTS <ul><li>What is Volume? </li></ul><ul><li>How to calculate the volume of a CUBE and CUBOID </li></ul><ul><li>How to calculate the volume of a CYLINDER </li></ul><ul><li>How to calculate the volume of a SPHERE </li></ul><ul><li>How to calculate the volume of a CONE </li></ul><ul><li>How to calculate the volume of a SQUARE PYRAMID </li></ul>
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VOLUME <ul><li>The volume of any solid, liquid, gas or vacuum is how much three-dimensional space it occupies, often quantified numerically. </li></ul><ul><li>One-dimensional figures (such as lines) and two-dimensional shapes (such as squares) are assigned zero volume in the three-dimensional space. </li></ul><ul><li>Volume is commonly presented in units such as cubic meters, cubic centimeters, litres, or millilitres. </li></ul>
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How to calculate the volume of a CUBOID and a CUBE <ul><li>The formula of calculating the volume of any rectangular prism, such as a cube, looks like this: </li></ul><ul><li>v = l*b*h Where -- l = length b = breadth h = height But if you really have a cube, the length, width, and height are all equal, and the formula looks like this: </li></ul><ul><li>v = l* </li></ul><ul><li>Where: </li></ul><ul><li>l* = the length of any side times itself 3 times, or "cubed". </li></ul>
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STEPS <ul><li>Measure the width, height, and length. Once you have accurate measurements, write them down. </li></ul><ul><li>Multiply the height by the width. This will give you the area of the base square. The equation should look like this: H x W=A </li></ul><ul><li>Where – H= height, A= area, and W= width </li></ul><ul><li>Multiply the area of the base square by the height. This will give you your final answer, the volume. The equation should look like this: </li></ul><ul><li>L x A=V </li></ul><ul><li>Where – L= length and V= volume). </li></ul>
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How to calculate the volume of a CYLINDER <ul><li>Have you ever wondered how much soda you could fit in a can? With this simple method, you can calculate the volume of the can. </li></ul><ul><li>The formula looks like this: v = πr ² h </li></ul><ul><li>Where: </li></ul><ul><li>h = height (the distance between the circular ends) r = radius </li></ul>
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Steps <ul><li>Measure the radius of the base circle. The radius is the distance going from the center point of the circle to any point on the edge of the circle. Once you have your accurate measurement, write it down on a piece of paper. </li></ul><ul><li>Calculate the area of the base circle. This is done by squaring the radius, and multiplying it by pi, which is approximately 22/7. The mathematical equation should look like this: RxRx3.14, where – R= radius </li></ul><ul><li>Measure the height of the cylinder. The height is the distance from the two bases' edges. Multiply the area of the base by the height. This is your final answer. The mathematical equation should look like this: AxH=V, where – A= area, H= height, and V=volume </li></ul>
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How to calculate the volume of a SPHERE <ul><li>Stuck on calculating the volume of a sphere? </li></ul><ul><li>You can calculate the volume of a sphere using the following formula: </li></ul><ul><li>4/3πr ³ </li></ul><ul><li>Where r = radius </li></ul>
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STEPS <ul><li>Find the radius. Sometimes, you'll be given the radius, other times you may be given the diameter. If you have the diameter, simply divide it in half. You might also be given the surface area or some other property. Don't worry, just find the formula for that property, set it equal to the value you know is the property, and find the radius from there by solving the equation. </li></ul><ul><li>Cube the radius. This is basically multiplying the radius by itself three times, (Radius*Radius*Radius). </li></ul><ul><li>Multiply the previous answer by 4/3 . </li></ul><ul><li>Multiply the answer by π If you want the exact answer, just write your previous answer followed by the " π " symbol. </li></ul>
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How to calculate the volume of a CONE <ul><li>Have you ever wondered how much ice cream it would take to fill up a cone? You can calculate the volume mathematically with only a couple simple measurements. </li></ul><ul><li>The formula looks like this: v =1/3πr ²h </li></ul><ul><li>Where: h = height of the cone r = radius of the circular base of the cone </li></ul>
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STEPS <ul><li>Measure the radius. Go to the base of the cone, which is a circle. The radius is the distance from the center point of the circle to any point on the outside of the circle. </li></ul><ul><li>Calculate the area of the base circle. This is done by squaring the radius and multiplying it by pi (approximately 22/7). The mathematical equation looks like this: π r ² , where – r= radius </li></ul><ul><li>Measure the height of the cone. Make sure it's accurate, and in the same units as the radius (inches, centimeters, etc). And then multiply it by the previous answer . </li></ul>
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STEPS (contd.) <ul><li>Multiply the area of the base by the height of the cone. Simply take the answer that you've written down, and multiply it by the measurement of the height. The mathematical equation looks like this: π r ²h , </li></ul><ul><li>where – h = height </li></ul><ul><li>Divide the product by three. </li></ul>
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How to calculate the volume of a SQUARE PYRAMID <ul><li>Do you want to know how to measure the volume of a pyramid? With this simple formula, you can. </li></ul><ul><li>v= (1/3)*b*h </li></ul><ul><li>Where – b= base area </li></ul><ul><li>h= height </li></ul>
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STEPS <ul><li>Identify the length and width of the base. Write your measurements down. </li></ul><ul><li>Calculate the area of the base. This is done by multiplying the width by the length. </li></ul><ul><li>Multiply the area of the base by the height. </li></ul><ul><li>Multiply the previous answer by one third, or divide by 3. This will give you the final answer. </li></ul>