EIAT EIAT Spatial Reasoning and Visualization 1 — Questions and Answers
Question 1: Which net, when folded, forms a cube?
- A cross-shaped arrangement of 6 equal squares (Correct answer)
- An L-shaped arrangement of 5 squares
- A straight row of 6 squares
- A 2×2 grid of 4 squares
Correct answer: A cross-shaped arrangement of 6 equal squares
A cross-shaped net with exactly 6 equal squares folds into a perfect cube with all faces covered.
Question 2: A rectangular box is 4 ft long, 2 ft wide, and 3 ft tall. What shape do you see when looking directly at the front face?
- A 4×3 rectangle
- A 4×2 rectangle
- A 2×3 rectangle (Correct answer)
- A square
Correct answer: A 2×3 rectangle
The front view shows the width (2 ft) and height (3 ft), giving a 2×3 rectangle.
Question 3: A square piece of paper is folded in half diagonally, and one hole is punched near the center of the folded edge. How many holes appear when the paper is fully unfolded?
- 1
- 2 (Correct answer)
- 3
- 4
Correct answer: 2
A diagonal fold creates one layer of symmetry, so punching one hole through both layers produces two holes when unfolded.
Question 4: Which best describes the mirror image of the letter 'F' reflected across a vertical axis?
- The letter looks identical
- The horizontal bars point left instead of right (Correct answer)
- The letter appears upside down
- The letter is rotated 90 degrees
Correct answer: The horizontal bars point left instead of right
Reflecting 'F' across a vertical axis reverses left and right, so its horizontal bars point left instead of right.
Question 5: A staircase rises 8 inches per step and has a horizontal run of 10 inches per step. What is the total height of a 5-step staircase above the floor?
- 32 inches
- 40 inches (Correct answer)
- 50 inches
- 80 inches
Correct answer: 40 inches
Total height equals the rise per step multiplied by the number of steps: 8 × 5 = 40 inches.
Question 6: A rod passes horizontally through the center of a vertical circular disc. If the disc is rotated 90° around the rod, what is its new orientation?
- Horizontal (flat) (Correct answer)
- Still vertical
- At a 45° angle
- Facing backward
Correct answer: Horizontal (flat)
Rotating a vertical disc 90° around a horizontal rod through its center tilts it into a horizontal (flat) position.
EIAT EIAT Spatial Reasoning and Visualization 1
Which net, when folded, forms a cube?