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If the total surface area of a cube is 150, what is the volume of the
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30 Apr 2023, 23:46
30 Apr 2023, 23:46
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If the total surface area of a cube is 150, what is the volume of the cube?
25
64
100
125
150
Post A Detailed Correct Solution For The Above Questions And Get A Kudos.
Question From Our Project: Free GRE Prep Club Tests in Exchange for 20 Kudos
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25
64
100
125
150
Post A Detailed Correct Solution For The Above Questions And Get A Kudos.
Question From Our Project: Free GRE Prep Club Tests in Exchange for 20 Kudos
\(\Longrightarrow\) GRE - Quant Daily Topic-wise Challenge
\(\Longrightarrow\) GRE GEOMETRY
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Re: If the total surface area of a cube is 150, what is the volume of the
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08 May 2023, 05:25
08 May 2023, 05:25
1
Expert Reply
Let the length of one side of the cube be 'a'. The total surface area of the cube is given by:
Total surface area = 6a^2
We are given that the total surface area of the cube is 150, so we can write:
6a^2 = 150
Simplifying this equation, we get:
a^2 = 25
Taking the square root of both sides, we get:
a = 5
Therefore, the length of each side of the cube is 5 cm. The volume of the cube is given by:
Volume = a^3 = 5^3 = 125 cubic cm
Hence, the volume of the cube is 125 cubic units, which is option (D).
Total surface area = 6a^2
We are given that the total surface area of the cube is 150, so we can write:
6a^2 = 150
Simplifying this equation, we get:
a^2 = 25
Taking the square root of both sides, we get:
a = 5
Therefore, the length of each side of the cube is 5 cm. The volume of the cube is given by:
Volume = a^3 = 5^3 = 125 cubic cm
Hence, the volume of the cube is 125 cubic units, which is option (D).
gmatclubot
Re: If the total surface area of a cube is 150, what is the volume of the [#permalink]
08 May 2023, 05:25
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