Three-Dimensional Geometry — Mathematics Grade 12 · High School — Question Bank

Question 1 of 20Easy

The space diagonal of a cube with edge 2 cm is ...

Question 2 of 20Easy

The face diagonal of a cube with edge 3 cm is ...

Question 3 of 20Easy

The volume of a cube with edge 4 cm is ...

Question 4 of 20Easy

The number of edges of a cube is ...

Question 5 of 20Easy

The space diagonal of a cube with edge $a$ is ...

Question 6 of 20Easy

The angle between two cube edges meeting at a vertex is ...

Question 7 of 20Medium

The space diagonal of a cube with edge 6 cm is ...

Question 8 of 20Medium

A cuboid measures 3 cm by 4 cm by 12 cm. Its space diagonal is ...

Question 9 of 20Medium

Cube ABCD.EFGH has edge 4 cm. The distance from A to G is ...

Question 10 of 20Medium

In a cube, the angle between a space diagonal and the base plane is ...

Question 11 of 20Medium

In cube ABCD.EFGH, the angle between the face diagonals AC and BD is ...

Question 12 of 20Medium

In cube ABCD.EFGH, the angle between the space diagonal AG and the edge AB is ...

Question 13 of 20Medium

The distance from the center of a cube with edge 6 cm to one of its faces is ...

Question 14 of 20Medium

A pyramid with a square base of side 6 cm and height 4 cm has a slant height (apothem) of ...

Question 15 of 20Hard

Cube ABCD.EFGH has edge 6 cm. The distance from A to the plane BDE is ...

Question 16 of 20Hard

Cube ABCD.EFGH has edge 6 cm. The distance from A to the line BH is ...

Question 17 of 20Hard

Cube ABCD.EFGH has edge 4 cm. Point P is the midpoint of EH. The distance from P to line AB is ...

Question 18 of 20Hard

A pyramid with a square base of side 6 cm and height 4 cm. The angle between a lateral face and the base is ...

Question 19 of 20Hard

Cube ABCD.EFGH has edge 6 cm. The distance from the midpoint of AB to the midpoint of GH is ...

Question 20 of 20Hard

Cube ABCD.EFGH has edge 6 cm. The distance from E to the line BD is ...