Final answer:
The height of the rectangular prism is 5.22 inches.
Step-by-step explanation:
To find the height of the rectangular prism, we can use the formula for volume of a rectangular prism, which is length x width x height. Given that the length is 34 inches, the width is 12 inches, and the volume is 2132 cubic inches, we can substitute these values into the formula:
2132 = 34 x 12 x height
Divide both sides of the equation by (34 x 12):
height = 2132 / (34 x 12)
height = 2132 / 408
height = 5.22 inches
The height of the rectangular prism is 5.22 inches.