The total surface area of a cube is 150cm³. then its length is _______cm.
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The total surface area of a cube is 150 cm
2
. Its volume is:
A
216 cm
3
B
125 cm
3
C
64 cm
3
D
1000 cm
3
Medium
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Solution
verified
Verified by Toppr
Correct option is B)
We know that the total surface area of the cube =6a
2
.
Given, the surface area of a cube is 150cm
2
.
So,
150=6a
2
⟹ a
2
=
6
150
=25
⟹ a=5.
Hence, the side of the cube is 5cm.
Now, we know that the volume of the cube V=a
3
Therefore, V=5
3
=125cm
3
.
Step-by-step explanation:
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Search for questions & chapters
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Question
Bookmark
The total surface area of a cube is 150 cm
2
. Its volume is:
Medium
Solution
verified
Verified by Toppr
Correct option is B)
We know that the total surface area of the cube =6a
2
.
Given, the surface area of a cube is 150cm
2
.
So,
150=6a
2
⟹ a
2
=
6
150
=25
⟹ a=5.
Hence, the side of the cube is 5cm.
Now, we know that the volume of the cube V=a
3
Therefore, V=5
3
=125cm
3
.