How to find the volume of a cube - GRE Quantitative Reasoning
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What is the volume of a rectangular box that is twice as long as it is high, and four times as wide as it is long?
What is the volume of a rectangular box that is twice as long as it is high, and four times as wide as it is long?
The box is 2 times as long as it is high, so H = L/2. It is also 4 times as wide as it is long, so W = 4_L_. Now we need volume = L * W * H = L * 4_L_ * L/2 = 2_L_3.
The box is 2 times as long as it is high, so H = L/2. It is also 4 times as wide as it is long, so W = 4_L_. Now we need volume = L * W * H = L * 4_L_ * L/2 = 2_L_3.
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What is the volume of a cube with a surface area of 
?
What is the volume of a cube with a surface area of
The surface area of a cube is merely the sum of the surface areas of the 
squares that make up its faces. Therefore, the surface area equation understandably is:
, where 
is the side length of any one side of the cube. For our values, we know:
Solving for 
, we get:
or 
Now, the volume of a cube is defined by the simple equation:
For 
, this is:
The surface area of a cube is merely the sum of the surface areas of the
Solving for
Now, the volume of a cube is defined by the simple equation:
For
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The volume of a cube is 
. If the side length of this cube is tripled, what is the new volume?
The volume of a cube is
Recall that the volume of a cube is defined by the equation:
, where 
is the side length of the cube.
Therefore, if we know that 
, we can solve:
This means that 
.
Now, if we triple 
to 
, the new volume of our cube will be:
Recall that the volume of a cube is defined by the equation:
Therefore, if we know that
This means that
Now, if we triple
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What is the volume of a cube with surface area of 
?
What is the volume of a cube with surface area of
Recall that the equation for the surface area of a cube is merely derived from the fact that the cube's faces are made up of 
squares. It is therefore:
For our values, this is:
Solving for 
, we get:
, so 
Now, the volume of a cube is merely:
Therefore, for 
, this value is:
Recall that the equation for the surface area of a cube is merely derived from the fact that the cube's faces are made up of
For our values, this is:
Solving for
Now, the volume of a cube is merely:
Therefore, for
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A cube has a volume of 64, what would it be if you doubled its side lengths?
A cube has a volume of 64, what would it be if you doubled its side lengths?
To find the volume of a cube, you multiple your side length 3 times (s*s*s).
To find the side length from the volume, you find the cube root which gives you 4
.
Doubling the side gives you 8
.
The volume of the new cube would then be 512
.
To find the volume of a cube, you multiple your side length 3 times (s*s*s).
To find the side length from the volume, you find the cube root which gives you 4
Doubling the side gives you 8
The volume of the new cube would then be 512
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