EIAT EIAT Spatial Reasoning and Visualization 2

Question 1

A circular pipe is cut at a 45° angle. What shape is the cut surface?

Accepted Answer

Ellipse

Answer

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?

Accepted Answer

20 ft × 15 ft

Answer

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?

Accepted Answer

Circle

Answer

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?

Accepted Answer

8 ft × 12 ft

Answer

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?

Accepted Answer

8 inches

Answer

Side length = diagonal ÷ √2 = 12 ÷ 1.414 ≈ 8.5 inches, which rounds to 8 inches.

EIAT - Elevator Industry Aptitude Test Practice Test