Geometry Perimeter Area & Volume 4

Question 1

A rectangular garden is 15 m by 8 m. How much fencing is needed to enclose it?

Accepted Answer

46 m

Answer

Fencing equals the perimeter: 2(15 + 8) = 46 m.

Question 2

A right triangle has legs of 3 cm and 4 cm. What is the length of the hypotenuse?

Accepted Answer

5 cm

Answer

By the Pythagorean theorem, √(3² + 4²) = √25 = 5 cm.

Question 3

The area of a triangle is 24 cm² and its base is 8 cm. What is its height?

Accepted Answer

6 cm

Answer

From area = ½ base × height, height = 2 × 24 ÷ 8 = 6 cm.

Question 4

A room floor measures 4 m by 3 m. How many square tiles of 1 m² are needed to cover it?

Accepted Answer

12 tiles

Answer

The floor area is 4 × 3 = 12 m², so 12 tiles are needed.

Question 5

A cube has a volume of 125 cm³. What is the length of one edge?

Accepted Answer

5 cm

Answer

The edge is the cube root of the volume: ∛125 = 5 cm.

Geometry Practice Test