Final answer:
The area of the top of the rectangular prism is 34 ft².
Step-by-step explanation:
To find the area of the top of the rectangular prism, we need to subtract the areas of the front and one side from the total surface area. Given that the area of the front is 4 ft² and the area of one side is 10 ft², we can subtract these values from the total surface area to find the area of the top:
Total surface area = 48 ft²
Area of front = 4 ft²
Area of one side = 10 ft²
Area of top = Total surface area - Area of front - Area of one side
Area of top = 48 ft² - 4 ft² - 10 ft²
Area of top = 34 ft²