Question

Mary poured 40,000 cm^3 of water into an aquarium that is shaped like a rectangular box. If the length and width of the aquarium are 40 cm and 80 cm, respectively, what is the height, in centimeters, of the water in the aquarium?

A. 12.5
B. 14.0
C. 16.5
D. 18.0
E. 20.5

Answer 1

The height of the water in the aquarium is 12.5 cm.

Step-by-step explanation:

To find the height of the water in the aquarium, we need to calculate the volume of the water first. The volume of a rectangular box can be found by multiplying its length, width, and height. In this case, the length is 40 cm, the width is 80 cm, and the volume is 40,000 cm³. So, we can use the formula: Volume = length × width × height. Rearranging the formula, we have: height = Volume ÷ (length × width). Substituting the given values, we get: height = 40,000 cm³ ÷ (40 cm × 80 cm). Simplifying the calculation, we find that the height of the water in the aquarium is 12.5 cm. Therefore, the answer is 12.5 cm (Option A).