Explanation:
To find the height of the prism, we need to use the formula for volume:
Volume = Length × Width × Height
Given that the volume is 84 meters^3, the length is 4 meters, and the width is 3 meters, we can substitute these values into the equation:
84 = 4 × 3 × Height
84 = 12 × Height
To solve for Height, divide both sides of the equation by 12:
Height = 84 / 12
Height = 7 meters
To convert the height from meters to centimeters, multiply it by 100 since there are 100 centimeters in a meter:
Height in centimeters = 7 × 100
Height in centimeters = 700 centimeters
Therefore, the height of the rectangular prism is 700 centimeters.