New- REET VACANCY COMING SOON: 31K Posts of 3rd Grade Teacher in Rajasthan(Approved by FMoR) New- RSMSSB PATWAR: Exam in January, 2021

Saturday, July 29, 2017

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) 234
(c) 288
(d) 270

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 5a/2 cm, then the volume of this pyramid is
(a) 3a^3 cm^3
(b) 3√2a^3 cm^3
(c) 3√3a^3 cm^3
(d) 6^3 cm^3



4. The base of a right prism is an equilateral triangle of area 173 and the volume of the prism is 10380 cm^3. The area of the lateral surface of the prism is (use
√3= 1.73
(a) 1200
(b) 2400
(c) 3600
(d) 4380


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 (cm^3) is
(a) 910
(b) 920
(c) 960
(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 √3 cubic cm
(b) 160 √3 cubic cm
(c) 150 √3 cubic cm
(d) 300 √3 cubic cm



Answers: