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Information described below to the designated agent listed below. Or more of your copyrights, please notify us by providing a written notice (“Infringement Notice”) containing If you believe that content available by means of the Website (as defined in our Terms of Service) infringes one And because l = 2 w, the length must be 12.īecause we now know the length, width, and height, we can find the volume of the prism, which is what the question ultimately requires us to find.
Now, let's substitute w = 2 h and l = 4 h into the equation we wrote for surface area.Ģ(4 h)(2 h) + 2(4 h)( h) + 2(2 h)( h) = 252 Because l = 2 w, we can write l as follows: In order to solve for one of the variables, let's try to write w and l in terms of h. We now have three equations and three unknowns. Using the formula for the surface area of the rectangular prism, we can write the following equation: Next, we are told that the surface area is equal to 252 square units. We can set up the following two equations: We are told that the length is twice the width, and that the width is twice the height. Let l be the length, w be the width, and h be the height of the prism. To rewrite this in scientific notation, we must move the decimal six places to the left. Remember that the volume of a rectangular box (or prism) is equal to the product of the length, width, and height. Now that all of our measurements are in centimeters, we can calculate the volume of the box in cubic centimeters. The height of the box is 3.2(100) = 320 centimeters. The width of the box is 0.5(100) = 50 centimeters. The length of the box is 2 meters, which is equal to 2 x 100, or 200, centimeters. This means that in order to convert from meters to centimeters, we must multiply by 100. Therefore, we need to convert these measurements to centimeters and then determine the volume of the box. However, the measurements of the box are given in meters. In order to figure out how many cubic centimeters can fit into the box, we need to figure out the volume of the box in terms of cubic centimeters.
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