Solve both parts and justify the conditions used. Part A: Similar solids have linear scale factor 3 from small to large. Find the surface-area ratio. Part B: In the 45° half-depth oblique convention, an original depth is d. Find its drawn length.
- Use the domain, units and sampling assumptions stated in the question.
- Use the domain, units and sampling assumptions stated in the question.
Skills and prerequisite lessons
Working and explanation
BUILD THE REASONING
Hint 1
Hint 2
Worked solution
Part A reasoning
Choose the correct surface or volume formula and keep units and similarity powers consistent.
Calculate or simplify this relation.
The volume ratio would instead be 27.
Part B reasoning
Distinguish the actual spatial object from the stated oblique drawing convention.
Calculate or simplify this relation.
This is a drawing convention, not a change in the solid.
A: The requested value is 9. B: The requested value is 9.
Checks and common pitfalls: The volume ratio would instead be 27. This is a drawing convention, not a change in the solid.
Reasoning checklist · self / teacher assessment
- Solve part A with its stated restrictions.
- Solve part B using an appropriate representation.
- Give the reasoning and check conditions in both parts.
Think first. Reveal a hint when the class is ready.