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# Volume- Mathematics

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### Volume- Mathematics

1. 1. VOLUME
2. 2. 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>
3. 3. 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>
4. 5. 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 &quot;cubed&quot;. </li></ul>
5. 6. 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>
6. 8. 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>
7. 9. 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>
8. 11. 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>