Mensuration
Top questions
See all →- The diagonals of a rhombus are 16 cm and 12 cm long. What is its perimeter? Answer: B. 40 cm Answer: (B) 40 cm The diagonals of a rhombus bisect each other at right angles, so each side = √(8² + 6²) = 10 cm. Perimete... 1
- A solid metallic sphere of radius 6 cm is melted and recast into a cone whose base radius is 6 cm. What is the height of the cone? Answer: C. 24 cm Answer: (C) 24 cm Volumes are equal: 4/3π (6)³ = 1/3π (6)² h ⇒ h = 4 × 216/36 = 24 cm. 1
- Find the total surface area of a closed cylinder of radius 14 cm and height 6 cm. (Take \(\pi = \frac{22}{7}\).) Answer: A. 1760 cm ² Answer: (A) 1760 cm ² TSA = 2π r(r + h) = 2 × 22/7 × 14 × 20 = 88 × 20 = 1760 cm ² . (528 is only the curved surface ar... 1
- What is the volume of a cylinder with radius 7 cm and height 10 cm (in cubic cm)? (Take \( \pi = \frac{22}{7} \).) Answer: D. 1540 Answer: (D) 1540 V = π r² h = 22/7 × 49 × 10 = 1540 cubic cm. 1
- The perimeter of a rectangle is 64 cm and its length is 6 cm more than its breadth. What is its area (in sq cm)? Answer: C. 247 Answer: (C) 247 l + b = 32 and l − b = 6, so l = 19 cm, b = 13 cm. Area = 19 × 13 = 247 sq cm. 1
- The area of a square is 196 m². What is its perimeter? Answer: C. 56 m Answer: (C) 56 m Side = √196 = 14 m. Perimeter = 4 × 14 = 56 m. 1