Class 9 Exam > Class 9 Questions > The total surface area of a cube is 96 cm2. T...
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The total surface area of a cube is 96 cm2 . The volume of the cube is
- a)64 cm3
- b)27 cm3
- c)512 cm3
- d)9 cm3
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
The total surface area of a cube is 96 cm2. The volume of the cube isa...
Surface area of a cube = 96 cm2
Surface area of a cube = 6 (Side)2 = 96 ⇒ (Side)2 = 16
⇒ (Side) = 4 cm
[taking positive square root because side is always a positive quantity]
Volume of cube = (Side)3 = (4)3 = 64 cm3
Hence, the volume of the cube is 64 cm3.
Surface area of a cube = 6 (Side)2 = 96 ⇒ (Side)2 = 16
⇒ (Side) = 4 cm
[taking positive square root because side is always a positive quantity]
Volume of cube = (Side)3 = (4)3 = 64 cm3
Hence, the volume of the cube is 64 cm3.
Most Upvoted Answer
The total surface area of a cube is 96 cm2. The volume of the cube isa...
Tsa of cube=6a²
volume of cube=a³
6a²=96
a²=96/6
a²=16
a=4
volume =a³
4³=4×4×4
64cm³
volume of cube=a³
6a²=96
a²=96/6
a²=16
a=4
volume =a³
4³=4×4×4
64cm³
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Community Answer
The total surface area of a cube is 96 cm2. The volume of the cube isa...
To find the volume of a cube, we need to know the length of its sides. However, in this problem, we are given the total surface area of the cube, not the length of its sides.
Total Surface Area of a Cube:
The total surface area of a cube is the sum of the areas of all its faces. Since a cube has 6 identical square faces, each with side length "s", the total surface area can be calculated using the formula:
Total Surface Area = 6s^2
Given that the total surface area is 96 cm^2, we can write the equation as:
96 = 6s^2
Simplifying the equation, we have:
16 = s^2
Taking the square root of both sides, we find:
s = √16
s = 4 cm
Volume of a Cube:
The volume of a cube is calculated by multiplying the length of one side by itself twice. In other words, the volume of a cube with side length "s" is given by the formula:
Volume = s^3
Substituting the value of "s" as 4 cm, we have:
Volume = 4^3
Volume = 64 cm^3
Therefore, the correct answer is option A) 64 cm^3.
Total Surface Area of a Cube:
The total surface area of a cube is the sum of the areas of all its faces. Since a cube has 6 identical square faces, each with side length "s", the total surface area can be calculated using the formula:
Total Surface Area = 6s^2
Given that the total surface area is 96 cm^2, we can write the equation as:
96 = 6s^2
Simplifying the equation, we have:
16 = s^2
Taking the square root of both sides, we find:
s = √16
s = 4 cm
Volume of a Cube:
The volume of a cube is calculated by multiplying the length of one side by itself twice. In other words, the volume of a cube with side length "s" is given by the formula:
Volume = s^3
Substituting the value of "s" as 4 cm, we have:
Volume = 4^3
Volume = 64 cm^3
Therefore, the correct answer is option A) 64 cm^3.
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The total surface area of a cube is 96 cm2. The volume of the cube isa)64 cm3b)27 cm3c)512 cm3d)9 cm3Correct answer is option 'A'. Can you explain this answer?
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