The base area of rectangular prism is: A = l * w = 56 ft² <span>The length of the base is longer than the width: l > w
The volume of the prism is: V = l * w * h = 840 ft</span>³ <span>The sum of the length and width of the base is equal to the height of the pyramid: l + w = h
So: </span>l * w = 56 l * w * h = 840 ___ 56 * h = 840 h = 840 / 56 h = 15 ft
Now, we know that l + w = 15 ⇒ w = 15 - l l * w = 56 ___ l * (15 - l) = 56 15l - l² = 56 0 = l² - 15l + 56
