Calculating the length of an edge of a cube - GMAT Quantitative
Card 1 of 48
Find the length of the edge of a cube given that the volume is 
.
Find the length of the edge of a cube given that the volume is
Tap to reveal answer
To find side length, you must use the equation for volume of a cube and solve for 
.
Thus,
To find side length, you must use the equation for volume of a cube and solve for
Thus,
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If the volume of a cube is 
units cubed, what is the length of each side of the cube?
If the volume of a cube is
Tap to reveal answer
We solve for the side of the cube by deriving it from the volume of a cube formula:
We solve for the side of the cube by deriving it from the volume of a cube formula:
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If a cube has a surface area of 
, what is the length of one side?
If a cube has a surface area of
Tap to reveal answer
To find the surface area of a cube, use the following formula:
Where s is our side length.
Rearrange for s to get the following:
Plug in 54 for SA and solve
Don't forget your units, in this case centimeters so we get 3 centimeters
To find the surface area of a cube, use the following formula:
Where s is our side length.
Rearrange for s to get the following:
Plug in 54 for SA and solve
Don't forget your units, in this case centimeters so we get 3 centimeters
← Didn't Know|Knew It →
If a cube has a surface area of 
, what is the length of one of its sides?
If a cube has a surface area of
Tap to reveal answer
To solve for the side length of the cube, we need to use the formula for surface area. There are six faces on a cube, so its total surface area is just six times the area of one of its square faces, which is given by the side length squared:
To solve for the side length of the cube, we need to use the formula for surface area. There are six faces on a cube, so its total surface area is just six times the area of one of its square faces, which is given by the side length squared:
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If a cube has a volume of 
and is made up of 
smaller cubes, what is the length of one side of one of the smaller cubes?
If a cube has a volume of
Tap to reveal answer
Volume of a cube is equal to the cube of its side. 343 is equal to 7 cubed, so the length of the whole cube is 7 cm. The cube is made up of 27 smaller cubes though. That means that one face of the cube is made up of 9 cubes and one edge of the whole cube is made up of 3 small cubes. That means that the length of one small cube is equal to the total length of one side divided by the numbers of cubes per side
Then we get our final answer by doing:
Volume of a cube is equal to the cube of its side. 343 is equal to 7 cubed, so the length of the whole cube is 7 cm. The cube is made up of 27 smaller cubes though. That means that one face of the cube is made up of 9 cubes and one edge of the whole cube is made up of 3 small cubes. That means that the length of one small cube is equal to the total length of one side divided by the numbers of cubes per side
Then we get our final answer by doing:
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is a cube with diagonal 
. What is the length of an edge of the cube?
Tap to reveal answer
We are given the length of the diagonal of the cube.
Therefore we can find the length of an edge by using the formula
or 
, and 
.
Therefore, the final answer is 
.
We are given the length of the diagonal of the cube.
Therefore we can find the length of an edge by using the formula
Therefore, the final answer is
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Find the length of the edge of a cube given that the volume is .
Find the length of the edge of a cube given that the volume is
Tap to reveal answer
To find side length, you must use the equation for volume of a cube and solve for .
Thus,
To find side length, you must use the equation for volume of a cube and solve for
Thus,
← Didn't Know|Knew It →
If the volume of a cube is units cubed, what is the length of each side of the cube?
If the volume of a cube is
Tap to reveal answer
We solve for the side of the cube by deriving it from the volume of a cube formula:
We solve for the side of the cube by deriving it from the volume of a cube formula:
← Didn't Know|Knew It →
If a cube has a surface area of , what is the length of one side?
If a cube has a surface area of
Tap to reveal answer
To find the surface area of a cube, use the following formula:
Where s is our side length.
Rearrange for s to get the following:
Plug in 54 for SA and solve
Don't forget your units, in this case centimeters so we get 3 centimeters
To find the surface area of a cube, use the following formula:
Where s is our side length.
Rearrange for s to get the following:
Plug in 54 for SA and solve
Don't forget your units, in this case centimeters so we get 3 centimeters
← Didn't Know|Knew It →
If a cube has a surface area of , what is the length of one of its sides?
If a cube has a surface area of
Tap to reveal answer
To solve for the side length of the cube, we need to use the formula for surface area. There are six faces on a cube, so its total surface area is just six times the area of one of its square faces, which is given by the side length squared:
To solve for the side length of the cube, we need to use the formula for surface area. There are six faces on a cube, so its total surface area is just six times the area of one of its square faces, which is given by the side length squared:
← Didn't Know|Knew It →
If a cube has a volume of and is made up of smaller cubes, what is the length of one side of one of the smaller cubes?
If a cube has a volume of
Tap to reveal answer
Volume of a cube is equal to the cube of its side. 343 is equal to 7 cubed, so the length of the whole cube is 7 cm. The cube is made up of 27 smaller cubes though. That means that one face of the cube is made up of 9 cubes and one edge of the whole cube is made up of 3 small cubes. That means that the length of one small cube is equal to the total length of one side divided by the numbers of cubes per side
Then we get our final answer by doing:
Volume of a cube is equal to the cube of its side. 343 is equal to 7 cubed, so the length of the whole cube is 7 cm. The cube is made up of 27 smaller cubes though. That means that one face of the cube is made up of 9 cubes and one edge of the whole cube is made up of 3 small cubes. That means that the length of one small cube is equal to the total length of one side divided by the numbers of cubes per side
Then we get our final answer by doing:
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is a cube with diagonal . What is the length of an edge of the cube?
Tap to reveal answer
We are given the length of the diagonal of the cube.
Therefore we can find the length of an edge by using the formula
or , and .
Therefore, the final answer is .
We are given the length of the diagonal of the cube.
Therefore we can find the length of an edge by using the formula
Therefore, the final answer is
← Didn't Know|Knew It →
Find the length of the edge of a cube given that the volume is .
Find the length of the edge of a cube given that the volume is
Tap to reveal answer
To find side length, you must use the equation for volume of a cube and solve for .
Thus,
To find side length, you must use the equation for volume of a cube and solve for
Thus,
← Didn't Know|Knew It →
If the volume of a cube is units cubed, what is the length of each side of the cube?
If the volume of a cube is
Tap to reveal answer
We solve for the side of the cube by deriving it from the volume of a cube formula:
We solve for the side of the cube by deriving it from the volume of a cube formula:
← Didn't Know|Knew It →
If a cube has a surface area of , what is the length of one side?
If a cube has a surface area of
Tap to reveal answer
To find the surface area of a cube, use the following formula:
Where s is our side length.
Rearrange for s to get the following:
Plug in 54 for SA and solve
Don't forget your units, in this case centimeters so we get 3 centimeters
To find the surface area of a cube, use the following formula:
Where s is our side length.
Rearrange for s to get the following:
Plug in 54 for SA and solve
Don't forget your units, in this case centimeters so we get 3 centimeters
← Didn't Know|Knew It →
If a cube has a surface area of , what is the length of one of its sides?
If a cube has a surface area of
Tap to reveal answer
To solve for the side length of the cube, we need to use the formula for surface area. There are six faces on a cube, so its total surface area is just six times the area of one of its square faces, which is given by the side length squared:
To solve for the side length of the cube, we need to use the formula for surface area. There are six faces on a cube, so its total surface area is just six times the area of one of its square faces, which is given by the side length squared:
← Didn't Know|Knew It →
If a cube has a volume of and is made up of smaller cubes, what is the length of one side of one of the smaller cubes?
If a cube has a volume of
Tap to reveal answer
Volume of a cube is equal to the cube of its side. 343 is equal to 7 cubed, so the length of the whole cube is 7 cm. The cube is made up of 27 smaller cubes though. That means that one face of the cube is made up of 9 cubes and one edge of the whole cube is made up of 3 small cubes. That means that the length of one small cube is equal to the total length of one side divided by the numbers of cubes per side
Then we get our final answer by doing:
Volume of a cube is equal to the cube of its side. 343 is equal to 7 cubed, so the length of the whole cube is 7 cm. The cube is made up of 27 smaller cubes though. That means that one face of the cube is made up of 9 cubes and one edge of the whole cube is made up of 3 small cubes. That means that the length of one small cube is equal to the total length of one side divided by the numbers of cubes per side
Then we get our final answer by doing:
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is a cube with diagonal . What is the length of an edge of the cube?
Tap to reveal answer
We are given the length of the diagonal of the cube.
Therefore we can find the length of an edge by using the formula
or , and .
Therefore, the final answer is .
We are given the length of the diagonal of the cube.
Therefore we can find the length of an edge by using the formula
Therefore, the final answer is
← Didn't Know|Knew It →
If the volume of a cube is units cubed, what is the length of each side of the cube?
If the volume of a cube is
Tap to reveal answer
We solve for the side of the cube by deriving it from the volume of a cube formula:
We solve for the side of the cube by deriving it from the volume of a cube formula:
← Didn't Know|Knew It →
If a cube has a surface area of , what is the length of one side?
If a cube has a surface area of
Tap to reveal answer
To find the surface area of a cube, use the following formula:
Where s is our side length.
Rearrange for s to get the following:
Plug in 54 for SA and solve
Don't forget your units, in this case centimeters so we get 3 centimeters
To find the surface area of a cube, use the following formula:
Where s is our side length.
Rearrange for s to get the following:
Plug in 54 for SA and solve
Don't forget your units, in this case centimeters so we get 3 centimeters
← Didn't Know|Knew It →