Final answer:
To find the height of the box with a volume of 56 cubic feet and a base of 4 by 1/2 feet, calculate the area of the base (2 square feet) and then divide the volume by this area. The height is 28 feet.
Step-by-step explanation:
To find the height of a storage box when you are given the volume and the dimensions of the base, you use the formula for the volume of a rectangular prism, which is volume = length × width × height. The volume of the box is given as 56 cubic feet and the dimensions of the base are 4 feet by ½ foot. To find the height, you divide the volume by the area of the base.
- Step 1: Calculate the area of the base.
Area of base = length × width = 4 ft × 0.5 ft = 2 ft². - Step 2: Divide the volume by the area of the base to find the height.
Height = volume / area of base = 56 ft³ / 2 ft² = 28 ft.
Therefore, the height of the storage box is 28 feet.