GCAT Spatial Visualization Tasks 5

Question 1

A rectangular piece of paper 8×11 inches is rolled into a cylinder along its long edge. What is the approximate circumference of the resulting cylinder?

Accepted Answer

8 inches

Answer

Rolling along the long edge means the short edge (8 inches) becomes the circumference of the cylinder.

Question 2

Two identical right triangles are placed together along their hypotenuses. What shape is formed?

Accepted Answer

A rectangle

Answer

Two congruent right triangles placed hypotenuse-to-hypotenuse form a rectangle.

Question 3

A cube is sliced diagonally through four of its edges (not faces). The cross-section is a rectangle. If the cube has side length 2, what is the area of the cross-section?

Accepted Answer

4√2

Answer

A diagonal slice through a cube of side 2 produces a rectangle measuring 2 × 2√2, giving area 4√2.

Question 4

Which of the following objects would cast a triangular shadow when lit from directly above?

Accepted Answer

A triangular prism lying on a rectangular face

Answer

A triangular prism lying on a rectangular face has a triangular top face that casts a triangular shadow from directly above.

Question 5

A regular hexagon is divided into equilateral triangles by drawing lines from each vertex to the center. How many triangles are formed?

Accepted Answer

6

Answer

Drawing lines from each of a hexagon's 6 vertices to its center creates exactly 6 equilateral triangles.

GCAT - General Cognitive Ability Test Practice Test

GCAT - General Cognitive Ability Test Practice Test

GCAT Spatial Visualization Tasks 5