How to find the length of an edge of a cube - ISEE Upper Level Quantitative Reasoning
Card 1 of 28
The volume of a cube is 
. What is the length of an edge of the cube?
The volume of a cube is
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Let 
be the length of an edge of the cube. The volume of a cube can be determined by the equation:
Let
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The above cube has surface area 486. Evaluate 
.
The above cube has surface area 486. Evaluate
Tap to reveal answer
The surface area of a cube is six times the square of the length of each edge, which here is 
. Therefore,
Substituting, then solving for 
:
Since the sidelength is positive,
The surface area of a cube is six times the square of the length of each edge, which here is
Substituting, then solving for
Since the sidelength is positive,
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There is a sculpture in front of town hall which is shaped like a cube. If it has a volume of 
, what is the length of one side of the cube?
There is a sculpture in front of town hall which is shaped like a cube. If it has a volume of
Tap to reveal answer
There is a sculpture in front of town hall which is shaped like a cube. If it has a volume of 
, what is the length of one side of the cube?
To find the side length of a cube from its volume, simply use the following formula:
Plug in what is known and use some algebra to get our answer:
There is a sculpture in front of town hall which is shaped like a cube. If it has a volume of
To find the side length of a cube from its volume, simply use the following formula:
Plug in what is known and use some algebra to get our answer:
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You have a cube with a volume of 
. What is the cube's side length?
You have a cube with a volume of
Tap to reveal answer
You have a cube with a volume of 
. What is the cube's side length?
If we begin with the formula for volume of a cube, we can work backwards to find the side length.
Making our answer:
You have a cube with a volume of
If we begin with the formula for volume of a cube, we can work backwards to find the side length.
Making our answer:
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You have a crate with equal dimensions (height, length and width). If the volume of the cube is 
, what is the length of one of the crate's dimension?
You have a crate with equal dimensions (height, length and width). If the volume of the cube is
Tap to reveal answer
You have a crate with equal dimensions (height, length and width). If the volume of the cube is 
, what is the length of one of the crate's dimension?
Let's begin with realizing that we are dealing with a cube. A crate with equal dimensions will have equal height, length, and width, so it must be a cube.
With that in mind, we can find our side length by starting with the volume and working backward.
So, to find our side length, we just need to take the cubed root of the volume.
So, our answer is 6 meters, a fairly large crate!
You have a crate with equal dimensions (height, length and width). If the volume of the cube is
Let's begin with realizing that we are dealing with a cube. A crate with equal dimensions will have equal height, length, and width, so it must be a cube.
With that in mind, we can find our side length by starting with the volume and working backward.
So, to find our side length, we just need to take the cubed root of the volume.
So, our answer is 6 meters, a fairly large crate!
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If the volume of a cube is 30, what must be the length of the edge of the cube?
If the volume of a cube is 30, what must be the length of the edge of the cube?
Tap to reveal answer
Write the formula to find the volume of a cube.
Substitute the volume into the equation.
Cube root both sides.
The answer is: 
Write the formula to find the volume of a cube.
Substitute the volume into the equation.
Cube root both sides.
The answer is:
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You have a cube with a volume of . What is the cube's side length?
You have a cube with a volume of
Tap to reveal answer
You have a cube with a volume of . What is the cube's side length?
If we begin with the formula for volume of a cube, we can work backwards to find the side length.
Making our answer:
You have a cube with a volume of
If we begin with the formula for volume of a cube, we can work backwards to find the side length.
Making our answer:
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The volume of a cube is . What is the length of an edge of the cube?
The volume of a cube is
Tap to reveal answer
Let be the length of an edge of the cube. The volume of a cube can be determined by the equation:
Let
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The above cube has surface area 486. Evaluate .
The above cube has surface area 486. Evaluate
Tap to reveal answer
The surface area of a cube is six times the square of the length of each edge, which here is . Therefore,
Substituting, then solving for :
Since the sidelength is positive,
The surface area of a cube is six times the square of the length of each edge, which here is
Substituting, then solving for
Since the sidelength is positive,
← Didn't Know|Knew It →
There is a sculpture in front of town hall which is shaped like a cube. If it has a volume of , what is the length of one side of the cube?
There is a sculpture in front of town hall which is shaped like a cube. If it has a volume of
Tap to reveal answer
There is a sculpture in front of town hall which is shaped like a cube. If it has a volume of , what is the length of one side of the cube?
To find the side length of a cube from its volume, simply use the following formula:
Plug in what is known and use some algebra to get our answer:
There is a sculpture in front of town hall which is shaped like a cube. If it has a volume of
To find the side length of a cube from its volume, simply use the following formula:
Plug in what is known and use some algebra to get our answer:
← Didn't Know|Knew It →
You have a cube with a volume of . What is the cube's side length?
You have a cube with a volume of
Tap to reveal answer
You have a cube with a volume of . What is the cube's side length?
If we begin with the formula for volume of a cube, we can work backwards to find the side length.
Making our answer:
You have a cube with a volume of
If we begin with the formula for volume of a cube, we can work backwards to find the side length.
Making our answer:
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You have a crate with equal dimensions (height, length and width). If the volume of the cube is , what is the length of one of the crate's dimension?
You have a crate with equal dimensions (height, length and width). If the volume of the cube is
Tap to reveal answer
You have a crate with equal dimensions (height, length and width). If the volume of the cube is , what is the length of one of the crate's dimension?
Let's begin with realizing that we are dealing with a cube. A crate with equal dimensions will have equal height, length, and width, so it must be a cube.
With that in mind, we can find our side length by starting with the volume and working backward.
So, to find our side length, we just need to take the cubed root of the volume.
So, our answer is 6 meters, a fairly large crate!
You have a crate with equal dimensions (height, length and width). If the volume of the cube is
Let's begin with realizing that we are dealing with a cube. A crate with equal dimensions will have equal height, length, and width, so it must be a cube.
With that in mind, we can find our side length by starting with the volume and working backward.
So, to find our side length, we just need to take the cubed root of the volume.
So, our answer is 6 meters, a fairly large crate!
← Didn't Know|Knew It →
If the volume of a cube is 30, what must be the length of the edge of the cube?
If the volume of a cube is 30, what must be the length of the edge of the cube?
Tap to reveal answer
Write the formula to find the volume of a cube.
Substitute the volume into the equation.
Cube root both sides.
The answer is:
Write the formula to find the volume of a cube.
Substitute the volume into the equation.
Cube root both sides.
The answer is:
← Didn't Know|Knew It →
You have a cube with a volume of . What is the cube's side length?
You have a cube with a volume of
Tap to reveal answer
You have a cube with a volume of . What is the cube's side length?
If we begin with the formula for volume of a cube, we can work backwards to find the side length.
Making our answer:
You have a cube with a volume of
If we begin with the formula for volume of a cube, we can work backwards to find the side length.
Making our answer:
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The volume of a cube is . What is the length of an edge of the cube?
The volume of a cube is
Tap to reveal answer
Let be the length of an edge of the cube. The volume of a cube can be determined by the equation:
Let
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The above cube has surface area 486. Evaluate .
The above cube has surface area 486. Evaluate
Tap to reveal answer
The surface area of a cube is six times the square of the length of each edge, which here is . Therefore,
Substituting, then solving for :
Since the sidelength is positive,
The surface area of a cube is six times the square of the length of each edge, which here is
Substituting, then solving for
Since the sidelength is positive,
← Didn't Know|Knew It →
There is a sculpture in front of town hall which is shaped like a cube. If it has a volume of , what is the length of one side of the cube?
There is a sculpture in front of town hall which is shaped like a cube. If it has a volume of
Tap to reveal answer
There is a sculpture in front of town hall which is shaped like a cube. If it has a volume of , what is the length of one side of the cube?
To find the side length of a cube from its volume, simply use the following formula:
Plug in what is known and use some algebra to get our answer:
There is a sculpture in front of town hall which is shaped like a cube. If it has a volume of
To find the side length of a cube from its volume, simply use the following formula:
Plug in what is known and use some algebra to get our answer:
← Didn't Know|Knew It →
You have a cube with a volume of . What is the cube's side length?
You have a cube with a volume of
Tap to reveal answer
You have a cube with a volume of . What is the cube's side length?
If we begin with the formula for volume of a cube, we can work backwards to find the side length.
Making our answer:
You have a cube with a volume of
If we begin with the formula for volume of a cube, we can work backwards to find the side length.
Making our answer:
← Didn't Know|Knew It →
You have a crate with equal dimensions (height, length and width). If the volume of the cube is , what is the length of one of the crate's dimension?
You have a crate with equal dimensions (height, length and width). If the volume of the cube is
Tap to reveal answer
You have a crate with equal dimensions (height, length and width). If the volume of the cube is , what is the length of one of the crate's dimension?
Let's begin with realizing that we are dealing with a cube. A crate with equal dimensions will have equal height, length, and width, so it must be a cube.
With that in mind, we can find our side length by starting with the volume and working backward.
So, to find our side length, we just need to take the cubed root of the volume.
So, our answer is 6 meters, a fairly large crate!
You have a crate with equal dimensions (height, length and width). If the volume of the cube is
Let's begin with realizing that we are dealing with a cube. A crate with equal dimensions will have equal height, length, and width, so it must be a cube.
With that in mind, we can find our side length by starting with the volume and working backward.
So, to find our side length, we just need to take the cubed root of the volume.
So, our answer is 6 meters, a fairly large crate!
← Didn't Know|Knew It →
If the volume of a cube is 30, what must be the length of the edge of the cube?
If the volume of a cube is 30, what must be the length of the edge of the cube?
Tap to reveal answer
Write the formula to find the volume of a cube.
Substitute the volume into the equation.
Cube root both sides.
The answer is:
Write the formula to find the volume of a cube.
Substitute the volume into the equation.
Cube root both sides.
The answer is:
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