Total surface area of a cube is 13.50 sq. cm volume
of the cube will be
Answers
Answer:
there are 6 equal faces on a cube . total surface area of a cube = 6 A2 = 1,350 square meters
Answer:
The volume of a cube = 3.375 cm³
Step-by-step explanation:
Given:
- Total surface area of a cube = 13.50 cm²
To find:
- The volume of a cube.
Solution:
As we are provided with the total surface area of a cube, so here we will use the formula of total surface area of a cube to find the length of one side of a cube. After finding the length of one side of a cube, we will substitute its value in the formula of volume of cube to find the required volume. Putting the values in and then doing the required calculations, we can easily calculate the volume of a cube.
Let's find out...
✰ Total surface area of a cube = 6a²
Where,
a is the length of one side of a cube.
Putting the values in the formula, we have:
- 13.50 = 6a²
- a² = 13.50/6
- a² = 2.25
- a = √2.25
- a = 1.5 cm
∴ The length of one side of a cube = 1.5 cm
Now, finally find out the volume of cube.
✰ Volume of a cube = a³
Where,
a is the length of one side of a cube.
Putting the values in the formula, we have:
- Volume of a cube = 1.5³
- Volume of a cube = 1.5 × 1.5 × 1.5
- Volume of a cube = 2.25 × 1.5
- Volume of a cube = 3.375 cm³
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