action Math assist » Geometry » solid Geometry » Cubes » exactly how to uncover the surface area the a cube
Explanation:

The surface ar area that a cube = 6a2 wherein a is the size of the next of each edge that the cube. Put one more way, because all sides of a cube are equal, a is just the lenght that one next of a cube.

You are watching: A cube has a surface area of 96 sq. in. what is the length of its sides?

We have 96 = 6a2 → a2 = 16, therefore that"s the area of one face of the cube.

Solving we acquire √16, so a = 4


The side of a cube has a length of

*
. What is the total surface area of the cube?


*


*


*


*


Explanation:

A cube has 6 faces. The area that each challenge is found by squaring the length of the side.

*

Multiply the area of one challenge by the number of faces to get the full surface area of the cube.

*


Explanation:

The area that one face is offered by the size of a side squared.

*

The area that 6 faces is then offered by 6 times the area the one face: 54 cm2.

*


Explanation:

We must very first find the radius the the ball in bespeak to deal with this problem. Because we currently know the volume, we will usage the volume formula to perform this.

*

*

*

*

*

*

With the radius that the sphere in hand, we have the right to now use it to the cube. The radius of the ball is fifty percent the street from the optimal to the bottom that the cube (or half the street from one side to another). Therefore, the radius represents half of a side length of a square. So in this case

*

The formula because that the surface ar area that a cube is:

*

*

The surface ar area of the cube is

*

 


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Example inquiry #5 : just how To uncover The surface ar Area of A Cube


What is the surface area, in square inches, that a four-inch cube?


Possible Answers:
Correct answer:

*


Explanation:

To answer this question, we need to uncover the surface area that a cube.

To execute this, us must discover the area the one face and multiply that by

*
, due to the fact that a cube has actually
*
 faces that room square in shape and also equal in size. 

To uncover the area that a square, you main point its size by that width. (Note the the length and width that a square room the same.) Therefore, for this data:

*

We now should multiply the area the one face by 6 to get the complete surface are of the cube.

*

Therefore, the surface space of a four-inch cube is 

*
.


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Example question #6 : exactly how To find The surface ar Area that A Cube


What is the surface area the a cube v a volume of 

*
? Round your answer come the nearest hundreth if necessary


Possible Answers:
Correct answer:

*


Explanation:

First we need to discover the side size of the cube. Perform that by taking the cube root of the volume.

*
 = 
*
Next plug the next length right into the formula because that the surface area that a cube:

*


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Example inquiry #7 : just how To uncover The surface ar Area the A Cube


What is the surface area, in square inches, of a cube through sides measuring 

*
?


Possible Answers:
Correct answer:

*


Explanation:

The surface area of a cube is a measure up of the complete area the the surface of every one of the political parties of the cube.

 

Since a cube contains 

*
square sides, the surface area is 
*
times the area that a square side.

 

The area of one square next is sidelength 

*
sidelength, or 
*
in this case. Therefore, the surface area of this cube is 
*
square inches.


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Example question #8 : just how To discover The surface Area the A Cube


What is the size of the side of a cube whose surface ar area is same to that volume?


Possible Answers:

There is not enough information to determine the answer.


Correct answer:

*


Explanation:

To discover the side length of a cube whose surface ar area is the same as its volume, collection the surface ar area and also volume equations of a cube equal to every other, the deal with for the side length:

*

Set these 2 formulas equal to eachother and solve because that s.

See more: What Is The Difference Between The Geocentric And Heliocentric Models ?

*


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Example inquiry #9 : exactly how To discover The surface ar Area the A Cube


What is the surface ar area of a cube through a side of length

*
?


Possible Answers:
Correct answer:

*


Explanation:

To uncover the surface ar area of a cube with a offered side length, 

*
 use the formula:
*


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Example question #10 : how To find The surface Area the A Cube


Find the surface area the a cube whose side size is

*
.


Possible Answers:
Correct answer:

*


Explanation:

To find surface area that a cube, merely calculate the area that one side and multiply that by

*
. Thus,

 

*


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