6 . A storage tank is in the form of a cube. When it is full of water, the volume of the water is 15.625 m. If the present depth of water is 1.3 m, find the volume of water already used from the tank
Answers
Answer:
volume of water used is 7.5 m³.
Step-by-step explanation:
volume of tank = 15.625 m³
tank is in cubical shape
hence, volume of tank = a³
a³= 15.625
a³= 2.5³
a =2.5 m
hence L= B= H= 2.5 m
used water height of tank is
= 2.5-1.3
= 1.2 m
volume of water already used from the tank is
L=2.5 m, B= 2.5 m, H= 1.2 m
volume of water used is
= L*B*H
=2.5*2.5*1.2
= 7.5 m³
volume of water used is 7.5 m³.
Answer:
Given, storage tank is in the form of a cube
When the tank is full of water, the volume of water is 15.625 m³
The present depth of water is 1.3 m
We have to find the volume of water already used from the tank.
Let the side of the cube = x m
Volume of cube = a³
Where, a is the side of the cube
Given, a³ = 15.625
Taking cube root,
a = 2.5 m
Given, present depth of water = 1.3 m
Height of water being used = 2.5 - 1.3
= 1.2 m
Volume of water used = 1.2 × 2.5 × 2.5
= 7.5 m³
We know, 1 m³ = 1000 litres
So, volume of water used = 7.5 × 1000
= 7500 litres