Answer:
82 ft^2
Explanation:
To find the amount of glass needed to cover the entire rectangular pyramid, we need to calculate the combined surface area of all its faces.
The rectangular base of the pyramid has an area of 5 feet by 4 feet, or 20 square feet. The two large triangular faces each have an area of (1/2) x base x height = (1/2) x 5 feet x 6.8 feet = 17 ft^2. The two small triangular faces each have an area of (1/2) x base x height = (1/2) x 4 feet x 7 feet = 14 ft^2.
Therefore, the total surface area of the pyramid is:
20 ft^2 (for the base) + 17 ft^2 + 17 ft^2 + 14 ft^2 + 14 ft^2 = 82 ft^2
So, the amount of glass needed to cover the entire pyramid is 82 square feet.
Therefore, the answer is 82 ft^2.