Question
Each cube has a volume of 12 cm3. What is the volume of the cuboid? cm3
Answer
Approximately 38.98 cm3.
- Q: What is the formula for the volume of a cuboid? A: The formula for the volume of a cuboid is V = lwh, where l is the length, w is the width, and h is the height.
- Q: How many cubes are needed to form the cuboid? A: We need three cubes to form the cuboid, since the volume of each cube is 12 cm3 and the volume of the cuboid should be a multiple of 12 cm3.
- Q: What are the dimensions of the cuboid? A: Since we need three cubes to form the cuboid, we can arrange them in a row to form a rectangular solid. Each cube has a side length of ∛12 cm ≈ 2.289 cm, so the dimensions of the cuboid are approximately 2.289 cm by 2.289 cm by 6.867 cm.