Question

Choose all of the expressions that could be used to find the volume of the hamster house.
6 ft
4 ft
2 ft
3 ft
1 it
(1 point)
• (1×3×4) + (2 × 5 × 3)
(1 × 3) + (4 × 2) + (5 × 3)
• (1x3× 2) + (6 × 3 x 2)
• 3× (1+4) + 2 × (5 + 3)
• (3x4) -1× (2 x 5) + 3

Answer 1

To determine which expressions can be used to find the volume of the hamster house, we first need to understand the geometric concept of volume. For a rectangular prism (which is likely the shape of a hamster house), the volume is typically calculated using the formula:

\[ V = \text{length} \times \text{width} \times \text{height} \]

Based on the dimensions provided (6 ft, 4 ft, 2 ft, 3 ft, 1 ft), we look for expressions in which multiplication is involved and which represents the factors of volume in a manner consistent with the formula above.

Let's evaluate each option:

1. **(1×3×4) + (2 × 5 × 3)**
- This expression combines two separate volumetric calculations. While (1×3×4) can represent a volume, (2×5×3) does not relate directly to the house's dimensions given. This expression is not purely a volume calculation; it combines two volumes, so it may not be valid.

2. **(1 × 3) + (4 × 2) + (5 × 3)**
- This expression calculates sums and products rather than a single volume. It is likely to represent areas or a non-volume calculation. Hence, it is not a valid expression for volume calculation.

3. **(1x3×2) + (6 × 3 x 2)**
- Similar to the first expression, it takes two different volumetric forms and adds them together, which also does not represent the volume of a single structure based on given dimensions clearly.

4. **3× (1+4) + 2 × (5 + 3)**
- This expression simplifies to 3 × 5 + 2 × 8, which is based on addition and does not accurately reflect a volume calculation.

5. **(3x4) - 1× (2 x 5) + 3**
- This involves multiple operations that do not correspond to a typical volume calculation and mixes subtraction and addition in a non-geometric manner. This expression equally is not a valid representation of volume.

Based on the reasoning for volume calculations, none of the provided expressions is correctly structured to give the volume of the hamster house. They either do not solely use multiplication of three dimensions or combine results in a way that deviates from standard volume calculation practices.