Final answer:
To calculate the height of the rectangular prism, divide the volume in cubic centimeters (3000 cm³) by the product of the length and width in centimeters (30 cm and 40 cm). The resulting height is 2.5 cm.
Step-by-step explanation:
To find the height of a rectangular prism with a given volume, we use the formula V = l * w * h, where V is the volume, l is the length, w is the width, and h is the height. The volume of the prism is given as 3 m³, which is equal to 3000 cm³ since 1 m³ = 1000000 cm³. The length and width are given as 30 cm and 40 cm, respectively. So, the formula becomes 3000 cm³ = 30 cm * 40 cm * h. To find the height, we divide the volume by the product of the length and width: h = 3000 cm³ / (30 cm * 40 cm). Therefore, the height h is 2.5 cm.