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 6. The base of a right prism is a trapezium. The lengths of 5 cm. Then, the total surface area of the prism is the parallel sides are 8 cm and 14 cm and the distance between the parallel sides is 8 cm. If the volume of the (a) 180 prism is 1056 then the height of the prism is (b) (a) 44 cm (c) (b) 16.5 cm (d) (c) 12 cm (d) 10.56 cm 2. Area of the base of a pyramid is 57 sq. cm. and height is 10 cm, then its volume in is 7. The base of a right pyramid is a square of side 16 cm (a) 570 long. If its height be 15 cm, then the area of the lateral (b) 390 surface in square centimeter is: (c) 190 (a) 136 (d) 590 (b) 544 (c) 800 3. There is a pyramid on a base which is a regular (d) 1280 hexagon of side 2a cm. If every slant edge of this pyramid is of length cm, then the volume of this 8. The height of a right prism with a square base is 15 cm. pyramid is If the area of the total surface of the prism is 608 sq. (a) cm, its volume is (b) 3 √ (a) 910 (c) √ (b) 920 (d) (c) (d) 980 4. The base of a right prism is an equilateral triangle of area 173 and the volume of the prism is 10380 9. If the slant height of a right pyramid with square base The area of the lateral surface of the prism is (use is 4 metre and the total slant surface of the pyramid is √ 12 square metre, then the ratio of total slant surface (a) and area of the base is : (b) (a) 16 : 3 (c) (b) 24 : 5 (d) (c) 32 : 9 (d) 12 : 3 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 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
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