Answer:
option C:
2x³ + 14x² + 22x + 10, cubic inches
Explanation:
volume of the rectangular box = length * width * height
according to the given question,
length = x + 5, inches
width = x + 1, inches
height = 2(width) = 2(x + 1) = 2x + 2, inches
thus,
volume of the box = (x + 5) * (x + 1) * (2x + 2)
= (x² + x + 5x + 5) * (2x + 2)
= (x² + 6x + 5) * (2x + 2)
= 2x³ + 2x² + 12x² + 12x + 10x + 10
= 2x³ + 14x² + 22x + 10, cubic inches
thus, option C is the correct answer.