![]() Third: V equals 79.36 millimeters cubed Multiply. Second: V equals left-parenthesis 3.2 right-parenthesis left-parenthesis 2 right-parenthesis left-parenthesis 12.4 right-parenthesis Substitute the given values. ![]() First: V equals l times w times h Write the formula. In addition to the prism, three equations are shown. A rectangular prism has length of 3.2, width of 2, and height of 12.4 millimeters, and the volume of the prism is calculated using these values. Remember that the units will be cubed because volume is a three-dimensional measurement. To use the formula for finding the volume of a rectangular prism, substitute the value of each dimension into the formula, and then multiply the three values. Click on the Show Answer button to check your work. V equals left parenthesis area of the base right parenthesis times height Equals left-parenthesis l times w right-parenthesis times h equals left-parenthesis 7 times 4 right-parenthesis times 6 Equals 168 inches cubed Use the formula V equals l times w times h to determine the volume of a rectangular prism that has a length of 5 centimeters, a width of 4 centimeters, and a height of 10 centimeters. By using the formula V equals l times w times h, you are multiplying the area of the base by the height to find the volume of the rectangular prism. Remember, area is a two-dimensional measurement. Use the formula A equals l times wto determine the number of 1-inch by 1-inch squares it will take to cover the bottom of the prism, which is the area of the base. A rectangular prism has length 7 inches, width 4 inches, and height 6 inches. cm) V = 48 cm3 Consider the following rectangular prism. ![]() The l times w is labeled "area of rectangular base." The exponent, 3, is used to indicate cubic units, because when calculating volume you multiply units times units times units. The equation shows V = l times w times h. So, for a rectangular prism, volume is equal to length times width times height. The area of the base is equal to its length times its width. ![]() The volume, V, of a prism can be found by multiplying the area of the base by the height of the prism. Since there are 3 layers (3 cm), the total volume is (16)(3) or 48 cubic centimeters (48 cm3). The top layer contains (8)(2) or 16 cubic centimeters. It is formed by three levels of 16 cubes. A rectangular prism has length 8 cm, width 2 cm, and height 3 cm. The volume of the rectangular prism is the number of cubic units needed to fill the figure. ![]()
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