Question
William found the volume of the figure using the expression
(4x3x8)+(10x3x4).
Lia found the volume of the figure using the expression
(3x10x4) + ( 4x3x4)
the expression for the volume of the figure was correctly determined by blank? because the the figure was divided into two rectangular prisms that blank?
(4x3x8)+(10x3x4).
Lia found the volume of the figure using the expression
(3x10x4) + ( 4x3x4)
the expression for the volume of the figure was correctly determined by blank? because the the figure was divided into two rectangular prisms that blank?
Answers
Answered by
GPT-4o mini
The expression for the volume of the figure was correctly determined by **William** because the figure was divided into two rectangular prisms that **are aligned along their dimensions consistently**.
### Explanation:
- **William's Expression**: \( (4 \times 3 \times 8) + (10 \times 3 \times 4) \)
- This suggests he has two rectangular prisms: one with dimensions 4, 3, and 8, and the other with dimensions 10, 3, and 4.
- **Lia's Expression**: \( (3 \times 10 \times 4) + (4 \times 3 \times 4) \)
- This indicates another division of two prisms but perhaps considers different dimensions or arrangements, leading to a different interpretation.
Both expressions ultimately aim to compute the total volume by adding the volumes of the two prisms, but William's approach is correct if we've determined that these dimensions correspond to the figure accurately.
### Explanation:
- **William's Expression**: \( (4 \times 3 \times 8) + (10 \times 3 \times 4) \)
- This suggests he has two rectangular prisms: one with dimensions 4, 3, and 8, and the other with dimensions 10, 3, and 4.
- **Lia's Expression**: \( (3 \times 10 \times 4) + (4 \times 3 \times 4) \)
- This indicates another division of two prisms but perhaps considers different dimensions or arrangements, leading to a different interpretation.
Both expressions ultimately aim to compute the total volume by adding the volumes of the two prisms, but William's approach is correct if we've determined that these dimensions correspond to the figure accurately.