Geometry Geometry 3D Shapes & Solids 2

Question 1

The volume of a cylinder with radius 5 cm and height 10 cm is closest to:

Accepted Answer

785 cm³

Answer

V = πr²h = π × 25 × 10 ≈ 785 cm³.

Question 2

How many vertices does a square pyramid have?

Accepted Answer

5

Answer

A square pyramid has 4 base vertices plus 1 apex, totaling 5 vertices.

Question 3

What is the lateral surface area of a cone with radius 3 cm and slant height 7 cm?

Accepted Answer

21π cm²

Answer

Lateral surface area of a cone = πrl = π × 3 × 7 = 21π cm².

Question 4

A sphere has a radius of 6 cm. What is its volume?

Accepted Answer

288π cm³

Answer

V = (4/3)πr³ = (4/3)π × 216 = 288π cm³.

Question 5

Which of the following describes a prism?

Accepted Answer

Two parallel congruent polygonal bases connected by rectangles

Answer

A prism has two parallel congruent polygonal bases connected by rectangular lateral faces.

Geometry Practice Test