Page 1 - Worksheet-1 Ch-13-Surface Areas and Volumes [Cuboid and cubes]

SAI International School
CLASS - IX

Mathematics
CHAPTER-13: SURFACE AREAS AND VOLUMES

Worksheet -1 [CUBOIDS AND CUBES]
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1. The lateral surface area of a cube is 256 m . The volume of the cube is 1
3
3
(a) 512 m 3 (b) 64 m (c) 216 m 3 (d) 256 m

2. The number of planks of dimensions (4 m x 50 cm x 20 cm) that can be stored in 1
a pit which is 16 m long, 12 m wide and 40 m deep is
(a) 1900 (b) 1920 (c) 1800 (d) 1840
3. Each edge of cube is increased by 50%. Find the percentage increase in 1
surface area of cube.
4. If the length of the diagonal of a cube is 6√3 cm, then the length of the edge of 1
the cube is 3 cm. State true false.
5. The plastic paint in an Asian paint container is sufficient to paint an area equal to 1
2
93.75 m . How many blocks of dimensions 22.5 cm × 10 cm × 7.5 cm can be
painted out of this container
(a) 100 (b) 800 (c) 940 (d) 1000

6. The length, breadth and height of a room are 12 m, 10 m, and 9m respectively. 1
Find the area of four walls of room.

7. A box is made entirely of glass panes (including base) held together with tape. It 1
is 3 cm long, 2.5 cm wide and 2.5 cm high. How much of tape is needed for all
the 12 edges?

8. The lateral surface area of a cube is 256 m , the volume is ____. 1
2
9. Three cubes whose sides are 6 cm, 8 cm and 10 cm. They are melted and form 1
a big cube. The volume of the big cube is________.

10. The total surface area of a cube is 726 cm . Find the length of its edge. 1
2
11. Find the length of the longest pole that can be put in a room of dimensions 2
10 m x 10 m x 5 m.

3
12. Calculate the edge of the cube if its volume is 1331 cm . 2

13. Two cubes of edge 6 cm are joined to form a cuboid. Find the total surface area 2
of the cuboid.
14. A storage tank is in the form of a cube. When it is full of water, the volume of 3
3
water is 15.625 m . If the present depth of water is 1.3 m, then find the volume
of water already used from the tank.

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