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What is the volume of a cube whose surface area is 150 m2 (metre square) ?
- a)1125 cubic metres
- b)225 cubic mt!tres
- c)125 cubic metres
- d)None of the above
Correct answer is option 'C'. Can you explain this answer?
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What is the volume of a cube whose surface area is 150 m2 (metre squar...
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What is the volume of a cube whose surface area is 150 m2 (metre squar...
Explanation:
Given, surface area of the cube = 150 m²
Let's assume that the length of the side of the cube is 'a'.
Formula:
The surface area of a cube = 6a²
The volume of a cube = a³
Calculation:
According to the question,
6a² = 150
a² = 150/6
a² = 25
Now, we can calculate the length of the side of the cube as follows:
a = √25
a = 5 m
The volume of the cube can be calculated as follows:
Volume of a cube = a³
= 5³
= 125 m³
Therefore, the volume of the cube whose surface area is 150 m² is 125 m³.
Answer:
The correct option is (c) 125 cubic metres.
Given, surface area of the cube = 150 m²
Let's assume that the length of the side of the cube is 'a'.
Formula:
The surface area of a cube = 6a²
The volume of a cube = a³
Calculation:
According to the question,
6a² = 150
a² = 150/6
a² = 25
Now, we can calculate the length of the side of the cube as follows:
a = √25
a = 5 m
The volume of the cube can be calculated as follows:
Volume of a cube = a³
= 5³
= 125 m³
Therefore, the volume of the cube whose surface area is 150 m² is 125 m³.
Answer:
The correct option is (c) 125 cubic metres.
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Community Answer
What is the volume of a cube whose surface area is 150 m2 (metre squar...
The surface area of a cube=150m^2
the area of one face=150/6=25m^2
=√25m^2
=5m
volume=l*b*h
=l*l*l
=5m*5m*5m
=125m^3
the area of one face=150/6=25m^2
=√25m^2
=5m
volume=l*b*h
=l*l*l
=5m*5m*5m
=125m^3
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What is the volume of a cube whose surface area is 150 m2 (metre square) ?a)1125 cubic metresb)225 cubic mt!tresc)125 cubic metresd)None of the aboveCorrect answer is option 'C'. Can you explain this answer?
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