Advertisements
Advertisements
Question
The capacity of a cuboidal tank is 50000 litres of water. Find the breadth of the tank, if its length and depth are respectively 2.5 m and 10 m.
Advertisements
Solution
Let the breadth of the tank be b m.
Length (l) and depth (h) of tank is 2.5 m and 10 m respectively.
Volume of tank = l × b × h
= (2.5 × b × 10) m3
= 25b m3
Capacity of tank = 25b m3 = 25000 b litres
∴ 25000 b = 50000
⇒ b = 2
Therefore, the breadth of the tank is 2 m.
RELATED QUESTIONS
The breadth of a room is twice its height, one half of its length and the volume of the room is 512cu. m. Find its dimensions.
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?
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.
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.
The length, breadth and height of a chocolate box are in the ratio 5 : 4 : 3. If its volume is 7500 cm3, then find its dimensions
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 ______.
A birthday cake has two tiers as shown in the figure below. Find the volume of the cake.
 |
 |
