Final answer:
To find the height of a rectangular aquarium with a base of 36 cm by 12 cm and a volume of 6,912 cm³, we use the formula for the volume of a rectangular prism (Volume = length × width × height). After dividing the volume by the product of the length and width, we find the height to be 16 cm.
Step-by-step explanation:
The question provided involves calculating the height of a rectangular aquarium given its base dimensions and volume. To determine the height of the aquarium, we first need to understand the formula for the volume of a rectangular prism, which is Volume = length × width × height. We are given the length as 36 cm, the width as 12 cm, and the volume as 6,912 cm³. The formula then becomes:
6,912 cm³ = 36 cm × 12 cm × height
Dividing both sides of the equation by the product of the length and width will isolate the height:
Height = 6,912 cm³ / (36 cm × 12 cm)
When we carry out the division, we find that:
Height = 6,912 cm³ / 432 cm²
Height = 16 cm
Therefore, the height of the rectangular aquarium is 16 cm.