Advertisements
Advertisements
प्रश्न
A child playing with building blocks, which are of the shape of the cubes, has built a structure as shown in Fig. 18.12 If the edge of each cube is 3 cm, find the volume of the structure built by the child.
Advertisements
उत्तर १
Volume of each cube = edge x edge x edge
`=3xx3xx3cm^3=27cm^3`
Number of cubes in the surface structure= 15
∴Volume of the structure = `27xx15cm^3`
`=405cm^3`
उत्तर २
We have,
Number of boxes (n) = 15
In the above structure we need to find the total volume
Edge of each cube (a) = 3 cm
Volume of each cube(v) = a3
=33
= 27 cm3
Hence, total volume of the structure,
`V=n xx v`
`=15 xx27`
`=405 cm^3 `
The volume of the structure built by the child is.405 cm3
APPEARS IN
संबंधित प्रश्न
A village, having a population of 4000, requires 150 litres of water per head per day. It has a tank measuring 20 m × 15 m × 6 m. For how many days will the water of this tank last?
A solid cube of side 12 cm is cut into eight cubes of equal volume. What will be the side of the new cube? Also, find the ratio between their surface areas.
A cuboidal water tank is 6 m long, 5 m wide and 4.5 m deep. How many litres of water can it hold?
A cube of 9 cm edge is immersed completely in a rectangular vessel containing water. Ifthe dimensions of the base are 15 cm and 12 cm, find the rise in water level in the vessel.
A godown measures 40m × 25 m × 10 m. Find the maximum number of wooden crates each measuring 1.5 m
× 1.25 m × 0.5 m that can be stored in the godown.
Find the volume of a cuboid whose dimensions are length = 12 cm, breadth = 8 cm, height = 6 cm
The dimensions of a brick are 24 cm × 12 cm × 8 cm. How many such bricks will be required to build a wall of 20 m length, 48 cm breadth and 6 m height?
The volume of a cuboid is 660 cm3 and the area of the base is 33 cm2. Its height is
Complete the given table by finding the volume of the given objects.
| S.No. | Objects | l | b | h | Volume (cubic units) |
| 1. | Brick | 6 cm | 8 cm | 10 cm | — |
| 2. | Windowpane | 3 cm | — | 45 cm | 900 cubic cm |
| 3. | Sunshade | 70 cm | 20 cm | — | 4200 cubic cm |
| 4. | Steps | 80 cm | — | 20 cm | 32000 cubic cm |
| 5. | Room | — | 4 m | 3 m | 36 cubic m |
A covered wooden box has the inner measures as 115 cm, 75 cm and 35 cm and thickness of wood as 2.5 cm. The volume of the wood is ______.
