Question
The volume of a cube is 343 cm3. Its surface area would be:
- 394 cm2
- 284 cm2
- 294 cm2
- 384 cm2
Hint:
The total number of cubic units that the cube totally occupies is the definition of a cube's volume. A cube is a solid three-dimensional object with six square faces.
Mathematically it can be written as:
The total area occupied by the cube's six faces is referred to as its surface area. If we compute the areas of the two bases and the four lateral sides, we may determine the total surface area of a cube.
The correct answers are: 294 cm2, 384 cm2
We have given the volume of a cube as 
. First lets find the dimensions of the cube. We know the formula of Volume of cube, that is:
Let x be the side of the cube, putting volume in the formula, we get:
Taking cubic roots on both sides, we get:
So the side of cube is 7 cm.
Now, the surface area of cube is 
, so putting the value of x in the formula, we get:
So the total surface area of the cube is 
.
So, we have given the volume of cube as . So we found out the dimension of cube first and substituted the value of dimension in the formula of total surface area of cube and we found out the total surface area of cube is .
Related Questions to study
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Alternate method is that we can just add 5 cm square for 6 times which will result in total surface area of cube.
Find the surface area of the cube if the area of one face of the cube is 5 square units
In this question, the area of one side is given as 5 square cm, so the total surface area of the cube can be calculated by just multiplying 6 by the area given as there are 6 faces in the cube.
Alternate method is that we can just add 5 cm square for 6 times which will result in total surface area of cube.
Find the surface area of the cube if the area of one face of the cube is 5 square units
In this question, the area of one side is given as 5 square cm, so the total surface area of the cube can be calculated by just multiplying 6 by the area given as there are 6 faces in the cube.
Alternate method is that we can just add 5 cm square for 6 times which will result in total surface area of cube.
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In this question, the area of one side is given as 5 square cm, so the total surface area of the cube can be calculated by just multiplying 6 by the area given as there are 6 faces in the cube.
Alternate method is that we can just add 5 cm square for 6 times which will result in total surface area of cube.
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.
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