Final answer:
To determine if Alice has enough pebbles to put a layer on the bottom of Aquarium A, calculate the area of the bottom. The area of the bottom of Aquarium A is 1.5 square feet.
Step-by-step explanation:
Alice has enough pebbles to cover 9 square feet. To determine if she has enough to put a layer of pebbles on the bottom of Aquarium A, we need to calculate the area of the bottom of Aquarium A. Since Aquarium A is a cube, all sides have the same length. To find the area of the bottom, we can calculate the area of one side and multiply it by 6. Let's assume the side length of Aquarium A is 's'.
Area of one side = s * s = s^2
Area of the bottom of Aquarium A = 6 * s^2
Given that Alice has enough pebbles to cover 9 square feet, we can set up the equation:
6 * s^2 = 9
Dividing both sides by 6, we get:
s^2 = 1.5
Taking the square root of both sides, we get:
s = sqrt(1.5)
Therefore, Alice will need enough pebbles to cover the bottom of Aquarium A with an area of 1.5 square feet.