2½ litres of oil are poured into a container whose cross section is a square of side 12½cm. How deep is the oil in the container.
Answers
Answer:
2 and half litres of oil are poured into a container whose cross section is a square of side 12 and half cm . How deep is the container?
-----------
Vol = cross-sectional area * depth.
---
CSA = 12.5^2 = 156.25 sq cm
----
2.5 liters = 2500 cc (cubic cms)
----
depth of the oil = 2500/156.25
= 16 cm
-------------
The depth of the container is >= 16 cm.
It might be 16 cm.
It might be 20 cm.
It might be 500 cm.
The depth of the oil container is 16 cm.
Given: Amount of oil poured = 2½ liters
The cross-section is a square of side 12½cm.
To Find: The depth of the oil container.
Solution:
- We know that the volume of a container can be given by the formula,
Volume = cross-sectional area × depth .....(1)
- Again, the cross-sectional area of a square can be calculated by,
Cross-sectional area = A × A .....(2)
Where, A = length of each side.
Coming to the numerical, we have;
Length of each side of the square cross-section = 12½ cm
∴ the area of cross-section = ( 12½ × 12½ ) cm²
= 156.25 cm²
Now, the volume of the container = 2½ litres = 2500 cm³
∴ From (1), we have;
Volume = cross-sectional area × depth
⇒ depth = Volume / cross-sectional area
⇒ depth = 2500 / 156.25
= 16 cm
Hence, the depth of the oil container is 16 cm.
#SPJ2