Q1. The base of a right prism is an equilateral triangle of area 173 cm^2 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 cm^2
(b) 2400 cm^2
(c) 3600 cm^2
(d) 4380 cm^2
Q2. If the slant height of a right pyramid with square base is 4 meter and the total slant surface area of the pyramid is 12 square meter, then the ratio of total slant surface area and area of the base is:
(a) 16 : 3
(b) 24 : 5
(c) 32 : 9
(d) 12 : 3
Q3. The length of each edge of a regular tetrahedron is 12 cm. The area (in sq. cm) of the total surface of the tetrahedron is
(a) 288√3
(b) 144√2
(c) 108√3
(d) 144√3
Q4. A right pyramid stands on a square base of side 16 cm and its height is 15 cm. The area (in cm2) of its slant surface is
(a) 514
(b) 544
(c) 344
(d) 444
Q5. The base of right, prism is an equilateral triangle. If the lateral surface area and volume is 120 cm^2, 40√3 cm^3 respectively them the side of base of the prism is
(a) 4 cm
(b) 5 cm
(c) 7 cm
(d) 40 cm
Q6. Each edge of a regular tetrahedron is 4 cm. Its volume (in cubic cm) is
(a) (16√3)/3
(b) 16√3
(c) (16√2)/3
(d) 16√2
Q7. The base of a right prism is a quadrilateral ABCD, given that AB = 9 cm, BC = 14 cm, CD = 13 cm, DA = 12 cm and ∠DAB=90°. If the volume of the prism be 2070 cm^3, then the area of lateral surface is
(a) 720 cm^2
(b) 810 cm^2
(c) 1260 cm^2
(d) 2070 cm^2
Q8. The total surface area of a regular triangular pyramid with each edges of length 1 cm is?
(a) (4/2) √2 cm^2
(b) √3 cm^2
(c) 4 cm^2
(d) 4√3 cm^2
Q9. Base of a right pyramid is a square of side 10 cm. If the height of the pyramid is 12 cm, then its total surface area is:
(a) 360 cm^2
(b) 400 cm^2
(c) 460 cm^2
(d) 260 cm^2
Q10. The base of a right prism is a trapezium whose lengths of two parallel sides are 10 cm and 6 cm and distance between them is 5 cm. If the height of the prism is 8 cm, its volume is:
(a) 300 cm^3
(b) 300.5 cm^3
(c) 320 cm^3
(d) 310 cm^3
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