SSC CGL ADVANCED QUIZ : PRISM AND PYRAMIDS

1. The base of a solid right prism is a triangle whose sides are 9 cm, 12 cm, and 15 cm. The height of the prism is 5 cm. Then, the total surface area of the prism is (a) 180 (b) (c) (d)

2. Area of the base of a pyramid is 57 sq. cm. and height is 10 cm, then its volume in is (a) 570 (b) 390 (c) 190 (d) 590

3. There is a pyramid on a base which is a regular hexagon of side 2a cm. If every slant edge of this

pyramid is of length

cm, then the volume of this

pyramid is (a)

(b) 3 √

(c) √ (d)

4. The base of a right prism is an equilateral triangle of

area 173 and the volume of the prism is 10380 The area of the lateral surface of the prism is (use

√ (a) (b) (c) (d)

5. The base of a right pyramid is a square of side 40 cm

long. If the volume of the pyramid is 8000 then its height is: (a) 5 cm (b) 10 cm (c) 15 cm (d) 20 cm

6. The base of a right prism is a trapezium. The lengths of

the parallel sides are 8 cm and 14 cm and the distance between the parallel sides is 8 cm. If the volume of the prism is 1056 then the height of the prism is (a) 44 cm (b) 16.5 cm (c) 12 cm (d) 10.56 cm

7. The base of a right pyramid is a square of side 16 cm long. If its height be 15 cm, then the area of the lateral surface in square centimeter is: (a) 136 (b) 544 (c) 800 (d) 1280

8. The height of a right prism with a square base is 15 cm. If the area of the total surface of the prism is 608 sq. cm, its volume is (a) 910 (b) 920 (c) (d) 980

9. If the slant height of a right pyramid with square base is 4 metre and the total slant surface of the pyramid is 12 square metre, then the ratio of total slant surface and area of the base is : (a) 16 : 3 (b) 24 : 5 (c) 32 : 9 (d) 12 : 3

10. The base of a right prism is an equilateral triangle of side 8 cm and height of the prism is 10 cm. Then the volume of the prism is

(a) 320 √ cubic cm

(b) 160 √ cubic cm

(c) 150 √

(d) 300 √ cubic cm