###### Advertisements

###### Advertisements

A cuboidal water tank is 6 m long, 5 m wide and 4.5 m deep. How many litres of water can it hold? (1 m^{3} = 1000*l*)

###### Advertisements

#### Solution

The given cuboidal water tank has its length (l) as 6 m, breadth (b) as 5 m, and height (h) as 4.5 m.

Volume of tank = l × b × h

= (6 × 5 × 4.5) m^{3}

= 135 m^{3}

Amount of water that 1 m^{3} volume can hold = 1000 liters

Amount of water that 135 m^{3} volume can hold = (135 × 1000) litres = 135000 litres

Therefore, such a tank can hold up to 135000 liters of water.

#### APPEARS IN

#### RELATED QUESTIONS

A cuboidal vessel is 10 m long and 8 m wide. How high must it be made to hold 380 cubic metres of a liquid?

Find the cost of digging a cuboidal pit 8 m long, 6 m broad and 3 m deep at the rate of Rs 30 per m^{3}.

A cuboidal water tank is 6 m long, 5 m wide and 4.5 m deep. How many litres of water can it hold?

The areas of three adjacent faces of a cuboid are x, y and z. If the volume is V, prove that

`V^2` = `xyz`

Water in a canal 30 cm wide and 12 cm deep, is flowing with a velocity of l00 km per hour.How much area will it irrigate in 30 minutes if 8 cm of standing water is desired?

Three metal cubes with edges 6 cm, 8 cm and 10 cm respectively are melted together and formed into a single cube. Find the volume, surface area and diagonal of the new cube.

How many cubic centimeters of iron are there in an open box whose external dimensions are 36 cm, 25 cm and I 6.5 cm, the iron being 1.5 cm thick throughout? If I cubic cm of iron weighs 15g, find the weight of the empty box in kg.

A rectangular tank is 80 m long and 25 m broad. Water flows into it through a pipe whose cross-section is 25 cm2, at the rate of 16 km per hour. How much the level of the water rises in the tank in 45 minutes.

Water in a rectangular reservoir having base 80 m by 60 m i s 6.5 m deep. In what time can the water be emptied by a pipe ôf which the cross-section is a square of side 20 cm, if the water runs through the pipe at the rate of 15 km/hr.

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.

^{3 }and the base area is 25 cm

^{2}.

^{3}?

Find the volume of a cuboid whose dimensions are length = 12 cm, breadth = 8 cm, height = 6 cm

Find the volume of a cuboid whose dimensions are length = 60 m, breadth = 25 m, height = 1.5 m

The dimensions of a match box are 6 cm × 3.5 cm × 2.5 cm. Find the volume of a packet containing 12 such match boxes

The length, breadth and height of a chocolate box are in the ratio 5 : 4 : 3. If its volume is 7500 cm^{3}, then find its dimensions

The length, breadth and depth of a pond are 20.5 m, 16 m and 8 m respectively. Find the capacity of the pond in litres

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 container is 1440 m^{3}. The length and breadth of the container are 15 m and 8 m respectively. Find its height

A metallic cube with side 15 cm is melted and formed into a cuboid. If the length and height of the cuboid is 25 cm and 9 cm respectively then find the breadth of the cuboid

The volume of a cuboid is 660 cm^{3} and the area of the base is 33 cm^{2}. Its height is

The number of bricks each measuring 50 cm × 30 cm × 20 cm that will be required to build a wall whose dimensions are 5 m × 3 m × 2 m is

Volume of regular solids such as cube and cuboid can be found by multiplying the dimensions. Complete the given table by finding the volume of the given objects

S.No. |
Objects |
l |
b |
h |
Volume(cubic cm) |

1. | Note books | 6 cm | 15 cm | 1 cm | |

2. | Name board | 20 cm | 90 cm | 2 cm | |

3. | Show case cub board | 70 cm | 250 cm | 70 cm | |

4. | Gift box | 10 cm | 10 cm | 10 cm | |

5. | Dice | 1 cm | 1 cm | 1 cm |

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 |

How many small cubes with edge of 20 cm each can be just accommodated in a cubical box of 2 m edge?

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 ______.

Ramesh has three containers.

(a) Cylindrical container A having radius r and height h,

(b) Cylindrical container B having radius 2r and height 1/2 h, and

(c) Cuboidal container C having dimensions r × r × h

The arrangement of the containers in the increasing order of their volumes is ______.

A carpenter makes a box which has a volume of 13,400 cm^{3}. The base has an area of 670 cm^{2}. What is the height of the box?

A truck carrying 7.8 m^{3} concrete arrives at a job site. A platform of width 5 m and height 2 m is being contructed at the site. Find the length of the platform, constructed from the amount of concrete on the truck?

How many bricks of size 22 cm × 10 cm × 7 cm are required to construct a wall 11 m long, 3.5 m high and 40 cm thick, if the cement and sand used in the construction occupy (1/10)th part of the wall?

A birthday cake has two tiers as shown in the figure below. Find the volume of the cake.

Water flows from a tank with a rectangular base measuring 80 cm by 70 cm into another tank with a square base of side 60 cm. If the water in the first tank is 45 cm deep, how deep will it be in the second tank?