BMST - Basic Math and Science Geometric Area and Volume Questions and Answers 5 — Questions and Answers
Question 1: A right triangle has legs of 6 ft and 8 ft. What is the area of the triangle?
- 48 sq ft
- 14 sq ft
- 24 sq ft (Correct answer)
- 28 sq ft
Correct answer: 24 sq ft
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)
- 3.16 cm (Correct answer)
- 5 cm
- 10 cm
- 1 cm
Correct answer: 3.16 cm
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?
- 3 cm (Correct answer)
- 4 cm
- 6 cm
- 9 cm
Correct answer: 3 cm
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?
- 45 m
- 60 m (Correct answer)
- 90 m
- 56.25 m
Correct answer: 60 m
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)
- 130.8 cm³
- 261.7 cm³ (Correct answer)
- 523.3 cm³
- 392.5 cm³
Correct answer: 261.7 cm³
Volume of a hemisphere = (2/3) × π × r³ = (2/3) × 3.14 × 125 ≈ 261.7 cm³.
Question 6: A rhombus has diagonals of 10 cm and 8 cm. What is its area?
- 80 cm²
- 40 cm² (Correct answer)
- 20 cm²
- 32 cm²
Correct answer: 40 cm²
Area of a rhombus = (d₁ × d₂) ÷ 2 = (10 × 8) ÷ 2 = 40 cm².
Question 7: A rectangular prism has a volume of 360 cm³, a length of 10 cm, and a width of 6 cm. What is its height?
- 4 cm
- 6 cm (Correct answer)
- 8 cm
- 12 cm
Correct answer: 6 cm
Height = Volume ÷ (length × width) = 360 ÷ (10 × 6) = 360 ÷ 60 = 6 cm.
BMST - Basic Math and Science Geometric Area and Volume Questions and Answers 5
A right triangle has legs of 6 ft and 8 ft.
What is the area of the triangle?