Answer :
Final answer:
To determine the height of the fuel level in the gas tank, calculate the volume of gasoline in cubic inches based on the known information and use the volume formula for a rectangular prism to derive the height, resulting in 46.5 inches. The correct option is not listed here.
Explanation:
To find the height of the fuel level in the gas tank, we first need to calculate the volume of gasoline in cubic inches. Given that one gallon occupies 231 cubic inches of space, for 21 gallons of gasoline, we have 21 x 231 = 4831 cubic inches. Since the tank is in the shape of a rectangular prism, we can use the formula for the volume of a rectangular prism to find the height.
We know that Volume = Length x Width x Height. Given the tank is 0.500m wide and 0.900m long, let's assume the height is h inches. Therefore, 0.500 x 0.900 x h = 4831. Solving for h, we get the height of the fuel level in the gas tank to be h = 4831 / (0.500 x 0.900) = 10713.333... cubic inches. Since 1 gallon corresponds to 231 cubic inches, the height of the fuel level is 10713.333... / 231 = 46.5 inches.
