EIAT EIAT Spatial Reasoning and Visualization 2 — Questions and Answers
Question 1: A circular pipe is cut at a 45° angle. What shape is the cut surface?
- Circle
- Square
- Ellipse (Correct answer)
- Triangle
Correct answer: Ellipse
Cutting a cylinder at an angle other than 90° stretches the circular cross-section into an ellipse.
Question 2: A floor plan shows a room at a scale of 1 inch = 5 feet. The room measures 4 inches × 3 inches on the plan. What are the actual dimensions?
- 4 ft × 3 ft
- 20 ft × 15 ft (Correct answer)
- 40 ft × 30 ft
- 8 ft × 6 ft
Correct answer: 20 ft × 15 ft
Multiply each plan dimension by the scale factor: 4 in × 5 = 20 ft and 3 in × 5 = 15 ft.
Question 3: A horizontal cut is made through a vertical cone below its apex and parallel to its base. What shape is the cut surface?
- Triangle
- Circle (Correct answer)
- Parabola
- Hyperbola
Correct answer: Circle
A cut parallel to the base of a cone always produces a circular cross-section.
Question 4: An elevator shaft is drawn as a 2 in × 3 in rectangle on a blueprint at a scale of 1 in = 4 ft. What are the actual dimensions of the shaft?
- 6 ft × 8 ft
- 8 ft × 12 ft (Correct answer)
- 4 ft × 8 ft
- 2 ft × 3 ft
Correct answer: 8 ft × 12 ft
Multiply each blueprint dimension by 4: 2 × 4 = 8 ft and 3 × 4 = 12 ft.
Question 5: A square tile has a diagonal that measures 12 inches. What is the side length of the tile to the nearest inch?
- 6 inches
- 8 inches (Correct answer)
- 9 inches
- 10 inches
Correct answer: 8 inches
Side length = diagonal ÷ √2 = 12 ÷ 1.414 ≈ 8.5 inches, which rounds to 8 inches.
Question 6: If you view a solid cylinder from directly above, what outline shape do you see?
- Rectangle
- Oval
- Circle (Correct answer)
- Square
Correct answer: Circle
The top-down view of a cylinder shows its circular base, which appears as a circle.
EIAT EIAT Spatial Reasoning and Visualization 2
A circular pipe is cut at a 45° angle.
What shape is the cut surface?