BMST - Basic Math and Science Geometric Area and Volume Questions and Answers 5

Question 1

A right triangle has legs of 6 ft and 8 ft. What is the area of the triangle?

Accepted Answer

24 sq ft

Answer

Area of a triangle = ½ × base × height = ½ × 6 × 8 = 24 sq ft.

Question 2

A cylinder has a volume of 314 cm³ and a height of 10 cm. What is its radius? (Use π ≈ 3.14)

Accepted Answer

3.16 cm

Answer

r² = V ÷ (π × h) = 314 ÷ (3.14 × 10) = 10, so r = √10 ≈ 3.16 cm.

Question 3

A rectangle has an area of 36 cm² and a length of 12 cm. What is its width?

Accepted Answer

3 cm

Answer

Width = Area ÷ Length = 36 ÷ 12 = 3 cm.

Question 4

A square piece of land has an area of 225 m². What is the perimeter of the land?

Accepted Answer

60 m

Answer

Side = √225 = 15 m; perimeter = 4 × 15 = 60 m.

Question 5

A hemisphere (half sphere) has a radius of 5 cm. What is its volume? (Use π ≈ 3.14)

Accepted Answer

261.7 cm³

Answer

Volume of a hemisphere = (2/3) × π × r³ = (2/3) × 3.14 × 125 ≈ 261.7 cm³.

BMST - Basic Math and Science Test Practice Test