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Study Guide Volume Mathematics, Grade 6

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VOLUME What is volume? Volume measures the amount a solid figure can hold. Volume is measured in terms of units³ and can be measured in inches, feet, meters, centimeters, and millimeters. The formula for the volume of a rectangular prism is V = l · w · h , where l is the length, w is the width, and h is the height. The formula for the volume of a cube is V = s³, where s is a side of the square. How to use volume: The formula to find the volume of a rectangular prism is: V = l · w · h Fill in the length, width and height. Then multiply and the result is the volume. If given the volume and 2 sides of the rectangular prism, fill in the volume and the sides given and perform the operations to find the missing side. Example: The formula to find the volume of a cube is: V = s³. © Copyright NewPath Learning. All Rights Reserved. Permission is granted for the purchaser to print copies for non-commercial educational purposes only. Visit us at www.NewPathLearning.com.
This can be used to find the volume given a side or to find a side given the volume. Since volume is l · w · h , the dimensions of a rectangular prism would be given in the same form. If a rectangular prism has length of 15, a width of 12 and a height of 14, the dimensions would be 15 x 12 x 14. The dimensions would then be multiplied to get the volume. Sometimes, rectangular prisms are packaged together. If the volume of one rectangular prism is known, it would be multiplied by the number of rectangular prisms packaged together to get the total volume. Example: The volume of one cereal box = 80 units³. There are 6 boxes wrapped in one package. What is the total volume? 80 · 6 = 480 units³. © Copyright NewPath Learning. All Rights Reserved. Permission is granted for the purchaser to print copies for non-commercial educational purposes only. Visit us at www.NewPathLearning.com.
Try this! 1. Find the volume: l = 3, w = 5, h = 11 l = 6, w = 7, h = 2 2. Find the missing dimension: v = 288 units³, l = 9, w = 8 v = 216 units³, w = 6, h = 12 3. Find the volume of a cube: s = 10 s = 5 s = 2 4. Find the side of a cube: volume = 64 units³ volume = 125 units³ © Copyright NewPath Learning. All Rights Reserved. Permission is granted for the purchaser to print copies for non-commercial educational purposes only. Visit us at www.NewPathLearning.com.