Question

An aquarium is in the shape of a cube. The aquarium can hold between 2744 cubic inches and 4096 cubic inches of water. What are the possible side lengths of the aquarium?

Choices:
12
14
15
16
18
20

Answer 1

The possible side lengths of the cube-shaped aquarium, with a volume between 2744 and 4096 cubic inches, are 14 inches and 16 inches. These are the cube roots of the minimum and maximum volumes provided.

Step-by-step explanation:

The student is asked to find the possible side lengths of an aquarium that is in the shape of a cube and has a volume between 2744 cubic inches and 4096 cubic inches. To solve this, we need to find the cube roots of these volumes because the volume of a cube is found by raising the side length to the third power (V = s³).

• The cube root of 2744 is 14. This means the side length of the cube could be at least 14 inches.
• The cube root of 4096 is 16. So the side length of the cube can be at most 16 inches.

Therefore, the possible side lengths of the cube-shaped aquarium that fit within the given volume range are 14 inches and 16 inches, as these are the only two options from the given choices that fall between the two volumes.

Answer 2

B I do believe is the answer