To find the length of d, we can use the formula for the volume of a rectangular prism:
volume = length × width × height
Substituting the given values:
(30 × 20 × 18) = length × 36.1
Simplifying this equation:
10,800 = 36.1 × length
To isolate length, divide both sides of the equation by 36.1:
length = 10,800 ÷ 36.1
Using a calculator, the length of d is approximately 299.72 inches when rounded to the nearest tenth.