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SAT Prep Class: Find the Volume

Check out Bas Rutten's Liver Shot on MMA Surge: SAT Prep Question #2 Question: For the rectangular prism displayed in the diagram, AB is 10, DC is equal to AB, and BC is 5. Find the volume (V).? To solve this problem, you need to know how to find the volume of a rectangular prism. The formula for this is:? V=(length)(width)(height) In this case, the length, width and height are not written as such. Instead, the line segments are labeled by the coordinates on the vertices that they connect. To find the volume of the prism, you'll have to determine the equivalent values and then solve the equation with the numbers provided. Solve the Problem 1. The rectangular prism in the diagram is labeled by points A, B, C and D. Determine which line segments you'll need to use when you calculate the volume of the prism.? AB is the length.? BC is the width.? DC is the height.? 2. Substitute the prism's length, width and height into the volume formula. The new equation will look like this:? V=(AB)(BC)(DC) 3. Plug in the information provided in the problem to solve for the volume. You have the numeric values for AB and BC, but DC is only represented as equal to AB. However, since AB equals 10 and DC equals AB, you can conclude that DC also equals 10. The equation now looks like this:? V=(10)(5)(10) 4. Solve the equation by multiplying all the values together. It will become V=500. Therefore, the volume of the rectangular prism is 500. Read more by visiting our page at:
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