The length, breadth and height of a cuboidal reservoir is 7 m, 6 m and 15 m respectively. 8400 L of water is pumped out from the reservoir. Find the fall in the water level in the reservoir.
Solution:
The Area of the base of the cuboidal reservoir = 7 × 6 = 42 m²
The volume of water pumped out is 8400 litres of water.
Now we know that 1litre = 0.001 m³
Therefore 8400 litres = 8400 × 0.001 = 8.4m³
Therefore
Base Area × Fall in water level in the reservoir = Volume of water pumped out
42 × Fall in the water level of the reservoir = 8.4
Fall in the water level of the reservoir = 8.4/42 = 0.2 m
✦ Try This: The length, breadth and height of a cuboidal reservoir is 12 m, 8 m and 15 m respectively. 19,200 L of water is pumped out from the reservoir. Find the fall in the water level in the reservoir.
The Area of the base of the cuboidal reservoir = 12 × 8 = 96 m²
The volume of water pumped out is 19,200 litres of water.
Now we know that 1litre = 0.001 m³
Therefore 8400 litres = 19,200 × 0.001 = 19.2m³
Therefore
96 × Fall in the water level of the reservoir =19.2
Fall in the water level of the reservoir = 19.2/96 = 0.2 m
☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 11
NCERT Exemplar Class 8 Maths Chapter 11 Problem 116
The length, breadth and height of a cuboidal reservoir is 7 m, 6 m and 15 m respectively. 8400 L of water is pumped out from the reservoir. Find the fall in the water level in the reservoir.
Summary:
The length, breadth and height of a cuboidal reservoir is 7 m, 6 m and 15 m respectively. 8400 L of water is pumped out from the reservoir. The fall in the water level in the reservoir is 0.2 m
☛ Related Questions:
- How many bricks of size 22 cm × 10 cm × 7 cm are required to construct a wall 11m long, 3.5 m high a . . . .
- A rectangular examination hall having seats for 500 candidates has to be built so as to allow 4 cubi . . . .
- The ratio between the curved surface area and the total surface area of a right circular cylinder is . . . .
visual curriculum