The cube method involves counting the number of cubes that make up the prism and multiplying by the volume of each cube. Since there are 12 cubes that are each 1/2 inch on each side, the volume of each cube is (1/2)^3 = 1/8 cubic inches. Therefore, the volume of the prism is 12 x (1/8) = 3/2 cubic inches.
The formula method involves using the formula V = lwh, where V is the volume, l is the length, w is the width, and h is the height of the prism. Since the prism is a right rectangular prism, we know that the length, width, and height are all different. We also know that each dimension is made up of 6 half-inch cubes, so the length is 3 cubes, the width is 2 cubes, and the height is 1 cube. Therefore, the volume of the prism is V = 3 x 2 x 1 x (1/2)^3 = 3/2 cubic inches.
Either method gives the same answer of 3/2 cubic inches.
A right rectangular prism is made up of 12 cubes that are 1/2 inch on each side. Use the cube method or the formula method to find the volume. Provide your answer as an improper fraction reduced to the
lowest terms.
1 answer