level – 1

1. The lengths of the parallel sides are 10 cm and 18 cm, and the distance between them is 12 cm. If the volume of the prism is 3360 cm³, then the height of the prism is:
(a) 10 cm
(b) 12 cm
(c) 14 cm
(d) 16 cm

2. The height of a right prism with a square base is 12 cm. If the total surface area of the prism is 352 cm², then its volume is:
(a) 384 cm³
(b) 432 cm³
(c) 448 cm³
(d) 512 cm³

3. The base of a right prism is an equilateral triangle of side 6 cm and the height of the prism is 12 cm. The volume of the prism is:
(a) 54 cm³
(b) 72 cm³
(c) 108 cm³
(d) 144 cm³

4. The base of a right prism is a triangle whose perimeter is 36 cm and the inradius of the triangle is 5 cm. If the volume of the prism is 720 cm³, then its height is:
(a) 6 cm
(b) 8 cm
(c) 10 cm
(d) 12 cm

5. The perimeter of the triangular base of a right prism is 24 cm and the radius of the incircle of the triangular base is 4 cm. If the volume of the prism is 384 cm³, then the height of the prism is:
(a) 6 cm
(b) 8 cm
(c) 10 cm
(d) 12 cm

6. A prism has as its base a right-angled triangle whose sides adjacent to the right angle are 9 cm and 16 cm long. The height of the prism is 15 cm. The density of the material of the prism is 5 g/cm³. The weight of the prism is:
(a) 4320 g
(b) 4860 g
(c) 5400 g
(d) 6000 g

7. The base of a right prism is an equilateral triangle. If the lateral surface area and the volume are 90 cm² and 45 cm³ respectively, then the side of the base of the prism is:
(a) 3 cm
(b) 4 cm
(c) 5 cm
(d) 6 cm

8. The base of a right pyramid is a square whose area is 196 m². If the volume of the pyramid is 588 m³, then the area (in m²) of the slant surface is:
(a) 280 m²
(b) 294 m²
(c) 308 m²
(d) 336 m²

9. A solid right prism made of iron has a cross-section in the shape of a triangle with sides 6 cm, 8 cm and 10 cm. The height of the prism is 15 cm. If one cubic cm of iron weighs 5 g, then the weight of the prism is:
(a) 1500 g
(b) 1800 g
(c) 2100 g
(d) 2400 g

10. A right prism has a triangular base whose sides are 14 cm, 15 cm and 13 cm. If the altitude of the prism is 12 cm, then its volume is:
(a) 840 cm³
(b) 960 cm³
(c) 1008 cm³
(d) 1120 cm³

11. The base of a right prism is a trapezium whose lengths of the two parallel sides are 20 cm and 10 cm, and the distance between them is 8 cm. If the height of the prism is 5 cm, its volume is:
(a) 600 cm³
(b) 500 cm³
(c) 400 cm³
(d) 300 cm³

12. The base of a right prism is a rectangle, the ratio of whose length and breadth is 3 : 2. If the height of the prism is 5 cm and the total surface area is 190 cm², then the volume of the prism is:
(a) 90 cm³
(b) 120 cm³
(c) 150 cm³
(d) 180 cm³

13. The height of a prism–shaped solid is 10 cm and its base is an isosceles triangle whose equal sides are 13 cm each and the remaining side is 10 cm. The volume of the solid is:
(a) 500 cm³
(b) 600 cm³
(c) 700 cm³
(d) 800 cm³

14. A prism with a right triangular base is 5 cm high. If the shorter sides of the triangle are in the ratio 3 : 4 and the volume of the prism is 750 cm³, what is the length of the longest side of the triangle?
(a) 15 cm
(b) 20 cm
(c) 25 cm
(d) 30 cm

15. The base of a right prism is a trapezium whose parallel sides are 18 cm and 12 cm, and the perpendicular distance between them is 10 cm. If the height of the prism is 8 cm, then the volume of the prism is:
(a) 960 cm³
(b) 1000 cm³
(c) 1200 cm³
(d) 1440 cm³

level – 2

1. The base of a solid right prism is a triangle whose sides are 8 cm, 15 cm and 17 cm. The height of the prism is 6 cm. Then, the total surface area of the prism is:
(a) 360 cm²
(b) 372 cm²
(c) 384 cm²
(d) 396 cm²

2. The base of a right prism is an equilateral triangle of area 173 cm² and the volume of the prism is 5190 cm³. The area of the lateral surface of the prism is (use √3 = 1.73):
(a) 1800 cm²
(b) 2400 cm²
(c) 3000 cm²
(d) 3600 cm²

3. A right prism stands on a base which is an equilateral triangle of side 8 cm. If its volume is 64 cm³, then the height (in cm) of the prism is:
(a) 2 cm
(b) 3 cm
(c) 4 cm
(d) 5 cm

4. If the altitude of a right prism is 15 cm and its base is an equilateral triangle of side 8 cm, then the total surface area (in cm²) of the prism is:
(a) 384 cm²
(b) 432 cm²
(c) 480 cm²
(d) 528 cm²

5. The base of a right prism is a right-angled triangle whose sides are 6 cm, 8 cm and 10 cm. If the total surface area of the prism is 288 cm², then the height (in cm) of the prism is:
(a) 4
(b) 5
(c) 10
(d) 7

6. The base of a prism is a right-angled triangle with two sides 6 cm and 8 cm. The height of the prism is 12 cm. The total surface area of the prism is:
(a) 336 cm²
(b) 360 cm²
(c) 384 cm²
(d) 400 cm²

7. The base of a right prism, whose height is 4 cm, is a square. If the total surface area of the prism is 80 cm², then its volume is:
(a) 16 cm³
(b) 24 cm³
(c) 32 cm³
(d) 48 cm³

ANSWERS