Mensuration (Part-10)

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

(a) 110 cm²
(b) 150 cm²
(c) 160 cm²
(d) 120 cm²

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)]

(a) 1881
(b) 1674
(c) 1444
(d) 1221

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)]

(a) Rs. 34800
(b) Rs. 32400
(c) Rs. 28500
(d) Rs. 17400

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)]

(a) 299.284 kg
(b) 199.584 kg
(c) 399.168 kg
(d) 499.482 kg

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)]

(a) 544 cm²
(b) 440 cm²
(c) 392 cm²
(d) 480 cm²

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)]

(a) 1197 cm³
(b) 2197 cm³
(c) 3024 cm³
(d) 5016 cm³

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)]

(a) 4.5 x 10⁶ cm³
(b) 6 x 10⁶ cm³
(c) 1.15 x 10⁶ cm³
(d) 2 x 10⁶ cm³

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)]

(a) π cm²
(b) 3π cm²
(c) 2π cm²
(d) 4π cm²

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)]

(a) 9:16
(b) 51:64
(c) 27:32
(d) 18:64

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)]

(a) 30 m
(b) 40 m
(c) 50 m
(d) 60 m

Correct Answer: (b) 40 m

Solution:

Mensuration (Part-10)

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

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)]

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)]

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)]

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)]

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)]

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

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)]

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)]

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)]

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