AFCT Spatial Aptitude 1 — Questions and Answers
Question 1: Which of the following shapes is the result of folding the net shown below? <br> [Imagine a 2D net of a cube with six square faces.]
- Cube (Correct answer)
- Pyramid
- Sphere
- Rectangular Prism
Correct answer: Cube
A net of a cube consists of six square faces arranged in a pattern that can be folded along their edges to form a three-dimensional cube. When the provided 2D net, which typically shows six connected squares, is folded, it will perfectly enclose a cubic shape. This is the fundamental definition of a cube's net.
Question 2: If you rotate a right triangle 90 degrees clockwise, what shape will the triangle form?
- Another right triangle (Correct answer)
- A square
- A rectangle
- A circle
Correct answer: Another right triangle
Rotating a geometric shape, such as a right triangle, only changes its orientation in space, not its fundamental properties or type. A 90-degree clockwise rotation will move the triangle, but it will still retain its three sides, three angles, and specifically its right angle. Therefore, it will remain a right triangle, just in a different position.
Question 3: Which of the following images shows the top view of a cone? <br> [Imagine multiple options with different perspectives of a cone.]
- A circle (Correct answer)
- A triangle
- A square
- A rectangle
Correct answer: A circle
When viewed directly from the top, a cone appears as a circular base. The apex of the cone would be at the center of this circle, but the overall outline visible from above is a perfect circle. This is because the top view essentially flattens the 3D shape onto a 2D plane, revealing its widest horizontal cross-section.
Question 4: Which 3D shape has 4 triangular faces and 1 square face?
- Cube
- Tetrahedron
- Pyramid (Correct answer)
- Sphere
Correct answer: Pyramid
A pyramid is a polyhedron characterized by a polygonal base and triangular faces that meet at a common point called the apex. Specifically, a pyramid with a square base will have one square face (the base) and four triangular faces that rise from each side of the square to meet at the apex, fulfilling the description.
Question 5: Which of the following is the result of rotating a square 45 degrees around its center?
- Another square, rotated
- A rhombus (Correct answer)
- A rectangle
- A parallelogram
Correct answer: A rhombus
A square is a quadrilateral with four equal sides. A rhombus is defined as a quadrilateral with four equal sides. Since a square meets the definition of a rhombus, rotating a square 45 degrees around its center results in a shape that is still a square, and thus, it is also still a rhombus. While it remains a square, 'rhombus' is a correct classification.
AFCT Spatial Aptitude 1
Which of the following shapes is the result of folding the net shown below?
[Imagine a 2D net of a cube with six square faces.]