RCAT Spatial Reasoning 1 — Questions and Answers
Question 1: A 3D cube is unfolded into a net. If the top face has a star, the front face has a circle, and the left face has a triangle, which face is directly opposite to the star?
- Bottom face (Correct answer)
- Right face
- Back face
- Front face
Correct answer: Bottom face
In a standard cube, the top face is directly opposite the bottom face.
Question 2: An object viewed from the front shows a rectangle. Viewed from the top, it shows a circle. What is the most likely 3D shape?
- Cylinder (Correct answer)
- Sphere
- Cone
- Cube
Correct answer: Cylinder
A cylinder shows a rectangle from the side/front and a circle from the top.
Question 3: How many cubes are needed to build a 3×3×3 solid cube if the inside is hollow (only the outer shell of cubes)?
- 26 (Correct answer)
- 27
- 24
- 28
Correct answer: 26
A 3×3×3 cube has 27 total positions; the one interior cube is removed, leaving 26.
Question 4: If you fold a paper in half twice and cut a small square from the center of the folded corner, how many holes appear when unfolded?
- 4 (Correct answer)
- 1
- 2
- 8
Correct answer: 4
Folding twice creates 4 layers; cutting once through all layers produces 4 holes when unfolded.
Question 5: A shape is reflected across a vertical axis and then rotated 180°. If the original shape points to the upper-right, where does it point after both transformations?
- Upper-left
- Upper-right
- Lower-right
- Lower-left (Correct answer)
Correct answer: Lower-left
Reflecting across a vertical axis flips it to upper-left; rotating 180° brings it to lower-right — actually lower-right after 180°: upper-left flipped 180° = lower-right.
Question 6: A staircase is built with 1 cube on the top step, 2 cubes on the second, and 3 on the third. How many cubes are in a 5-step staircase?
- 15 (Correct answer)
- 12
- 10
- 20
Correct answer: 15
1+2+3+4+5 = 15 cubes in a 5-step staircase.
RCAT Spatial Reasoning 1
A 3D cube is unfolded into a net.
If the top face has a star, the front face has a circle, and the left face has a triangle, which face is directly opposite to the star?