Two rectangular prisms have the same volume. The area of the base of the blue prism is 2 1/6 square units. The area of the base of the red prism is one third that of the blue prism. Which statement is true?
volume of the red prism = h1 * B1 volume of the blue prism = h2 * B2 area of the base of the red prism = 1/3 * the area of the base of the blue prism. you get B2/3. volume of the red prism = h1 * B2/3. volume of the blue prism is still h2 * B2. since the volumes are equal, you get: h1 * B2/3 = h2 * B2 divide both sides of this equation by B2 and you get: h1/3 = h2 multiply both sides of this equation by 3 and you get: h1 = 3 * h2. if the area of the base of the red prism is 1/3 * the area of the base of the blue prism, then the height of the red prism is 3 times the height of the blue prism.
