Final answer:
To find the height of the crate, we divide the given volume of 243.75 cubic feet by the area of the base, which is 48.75 square feet. This results in a height of 5 feet, which means the correct answer is option b) 5 feet.
Step-by-step explanation:
The question involves finding the height of a crate given the volume and the dimensions of its base. To find the height, we use the formula for the volume of a rectangular prism, which is volume = length × width × height. Given that the volume is 243.75 cubic feet, the length is 7.5 feet, and the width is 6.5 feet, we can set up the equation:
243.75 cu ft = 7.5 ft × 6.5 ft × height
Now we solve for the height:
243.75 cu ft = 48.75 sq ft × height
height = 243.75 cu ft / 48.75 sq ft
height = 5 feet
Therefore, the height of the crate is 5 feet.