level – 1

1. The area of the base of a pyramid is 72 cm² and its height is 15 cm. The volume of the pyramid (in cm³) is:
(a) 240
(b) 300
(c) 360
(d) 480

2. There is a right pyramid standing on a square base of side 4a cm. If each slant edge of the pyramid is 5a cm, then the volume of the pyramid is:
(a) (16a³√17) / 3
(b) 16a³√17
(c) (32a³√17) / 3
(d) (64a³) / 3

3. The base of a right pyramid is a square of side 30 cm. If the volume of the pyramid is 4500 cm³, then the height of the pyramid is:
(a) 10 cm
(b) 12 cm
(c) 15 cm
(d) 18 cm

4. The base of a right pyramid is a triangle with sides 6 cm, 8 cm and 10 cm. If the volume of the pyramid is 240 cm³, then the height of the pyramid (in cm) is:
(a) 10
(b) 12
(c) 15
(d) 20

5. A right pyramid is 9 m high and has a square base whose diagonal is √800. The volume of the pyramid (in m³) is:
(a) 600
(b) 900
(c) 1200
(d) 1800

6. The area of the base of a right pyramid is 48 m² and its volume is 384 m³. The height of the pyramid (in m) is:
(a) 18
(b) 20
(c) 22
(d) 24

7. The base of a right pyramid is a square of side 6 cm. Each slant edge of the pyramid is √34 cm long. The volume of the pyramid (in cm³) is:
(a) 12
(b) 24
(c) 36
(d) 48

8. The volume of a right rectangular pyramid is 336 m³. If the area of its base is 84 m², then the height of the pyramid is:
(a) 8 m
(b) 10 m
(c) 12 m
(d) 14 m

9. The base area of a right pyramid is 72 sq. units and its height is 9 units. The volume of the pyramid (in cubic units) is:
(a) 180
(b) 192
(c) 216
(d) 240

level – 2

1. The base of a right pyramid is a square of side 20 cm. If the height of the pyramid is 21 cm, then the lateral surface area of the pyramid (in cm²) is:
(a) 800
(b) 840
(c) 880
(d) 920

2. The slant height of a right pyramid with square base is 6 m. If the total slant (lateral) surface area of the pyramid is 48 m², then the ratio of the total slant surface area to the area of the base is:
(a) 3 : 1
(b) 4 : 1
(c) 6 : 1
(d) 8 : 1

3. The base of a right pyramid is an equilateral triangle of side 12 cm. If the total surface area of the pyramid is 180√3 cm², then the height of the pyramid (in cm) is:
(a) 6
(b) 8
(c) 10
(d) 12

4. A right pyramid stands on a square base whose diagonal is 12√2 cm. If the height of the pyramid is 16 cm, then the area (in cm²) of its slant surface is:
(a) 480
(b) 520
(c) 576
(d) 640

5. A right pyramid stands on a square base of side 10 cm. If the height of the pyramid is 24 cm, then the area (in cm²) of its slant surface is:
(a) 500
(b) 520
(c) 520
(d) 600

6. The total surface area of a regular triangular pyramid with each edge of length 2 cm is:
(a) 4√3 cm²
(b) 4√3 cm²
(c) 6√3 cm²
(d) 8√3 cm²

7. The base of a right pyramid is a square of side 12 cm. If the height of the pyramid is 5 cm, then the total surface area of the pyramid is:
(a) 336 cm²
(b) 360 cm²
(c) 372 cm²
(d) 384 cm²

8. The total surface area of a right pyramid on a square base of side 8 cm with height 15 cm is:
(a) 256 cm²
(b) 272 cm²
(c) 288 cm²
(d) 304 cm²

9. A sphere has the same curved surface area as a cone of vertical height 24 cm and radius 7 cm. The radius of the sphere is:
(a) 7 cm
(b) 10 cm
(c) 12 cm
(d) 14 cm

ANSWERS