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A cube of edge 9 cm was filled with 405 cm3 of water. Find the height of water in the cube?
- a)9 cm
- b)81 cm
- c)5 cm
- d)25 cm
Correct answer is option 'C'. Can you explain this answer?
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A cube of edge 9 cm was filled with 405 cm3 of water. Find the height ...
Given data:
Edge of cube = 9 cm
Volume of water in the cube = 405 cm³
To find: Height of water in the cube
Solution:
As the cube is completely filled with water, the volume of water in the cube is equal to the volume of the cube.
Volume of cube = (Edge)³
Volume of cube = (9 cm)³
Volume of cube = 729 cm³
Let the height of water in the cube be 'h' cm.
Now, the volume of water in the cube can be calculated as the product of the base area and height of water.
Volume of water in cube = Base area × Height of water
405 cm³ = (9 cm)² × h
405 cm³ = 81 cm² × h
h = 405 cm³ / 81 cm²
h = 5 cm
Therefore, the height of water in the cube is 5 cm.
Answer: Option (c) 5 cm
Edge of cube = 9 cm
Volume of water in the cube = 405 cm³
To find: Height of water in the cube
Solution:
As the cube is completely filled with water, the volume of water in the cube is equal to the volume of the cube.
Volume of cube = (Edge)³
Volume of cube = (9 cm)³
Volume of cube = 729 cm³
Let the height of water in the cube be 'h' cm.
Now, the volume of water in the cube can be calculated as the product of the base area and height of water.
Volume of water in cube = Base area × Height of water
405 cm³ = (9 cm)² × h
405 cm³ = 81 cm² × h
h = 405 cm³ / 81 cm²
h = 5 cm
Therefore, the height of water in the cube is 5 cm.
Answer: Option (c) 5 cm
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A cube of edge 9 cm was filled with 405 cm3 of water. Find the height ...
Option (c)
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A cube of edge 9 cm was filled with 405 cm3 of water. Find the height of water in the cube?a)9 cm b)81 cmc)5 cm d)25 cmCorrect answer is option 'C'. Can you explain this answer?
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