Mensuration (Part-10)

Total Questions: 50

1. Find the area of the rhombus whose diagonals are 16 cm and 20 cm. [SSC MTS 09/05/2023 (Morning)]

Correct Answer: (c) 160 cm²
Solution:

2. Two cubes of iron whose edges are 7 cm and 11 cm are melted and formed into a single cube. Find the volume (in cm³) of the new cube formed. [SSC MTS 09/05/2023 (Afternoon)]

Correct Answer: (b) 1674
Solution:

3. Length of a rectangle is 58 meters, while its breadth is 30 meters. What is the total cost of covering it with grass bed if cost is Rs. 20 per m²? [SSC MTS 09/05/2023 (Evening)]

Correct Answer: (a) Rs. 34800
Solution:

4. Find the weight of a cylindrical iron container with base radius 12.6 cm and height is 4 m, where the weight of 1 cm³ of iron is 2 grams ? [SSC MTS 10/05/2023 (Morning)]

Correct Answer: (c) 399.168 kg
Solution:

5. Find the area of the triangle whose height is 56 cm and the corresponding base is ¹⁄₄ th of the height. [SSC MTS 10/05/2023 (Evening)]

Correct Answer: (c) 392 cm²
Solution:

6. The outer radius of a spherical shell is 13 cm and the thickness of the shell is 3 cm. What is the volume of the metal used for the shell? (π = 22/7) [SSC MTS 11/05/2023 (Morning)]

Correct Answer: (d) 5016 cm³
Solution:

7. What will be the approximately volume of sphere with radius 65 cm ? [SSC MTS 11/05/2023 (Afternoon)]

Correct Answer: (c) 1.15 x 10⁶ cm³
Solution:

8. The lateral area is thrice as big as the base area of a cone. If the diameter of the cone is 1 cm, then what is the total surface area of the cone? [SSC MTS 11/05/2023 (Evening)]

Correct Answer: (a) π cm²
Solution:

9. If the radius of a sphere is 3/4 of the radius of a hemisphere, then what will be the ratio of the volumes of sphere and hemisphere? [SSC MTS 12/05/2023 (Morning)]

Correct Answer: (c) 27 : 32
Solution:

10. The area of the base of a rectangular tank is 720 m² and the volume of water contained in it is 28800 m³ What is the depth of the water? [SSC MTS 12/05/2023 (Morning)]

Correct Answer: (b) 40 m
Solution: