Final answer:
The volume of a cube with edge lengths of 6 feet is 216 cubic feet. To convert this to cubic yards, we divide by 27, resulting in 8 cubic yards.
Step-by-step explanation:
The question involves calculating the volume of a tank in the shape of a cube. The cube has edge lengths of 6 feet. To find the volume in cubic feet, we use the formula for the volume of a cube, which is side length cubed (s^3). Therefore:
Volume = 6 feet * 6 feet * 6 feet = 216 cubic feet.
This answers the first part of the question. For the second part, we convert cubic feet to cubic yards. Since 1 cubic yard is equal to 27 cubic feet, we divide the volume in cubic feet by 27 to get the volume in cubic yards.
Volume in cubic yards = 216 cubic feet / 27 cubic feet per cubic yard = 8 cubic yards.
Therefore, the correct answers are:
- Cubic feet: 216
- Cubic yards: 8