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The surface area of a cube with side length (x + 4) is 294.
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10 Mar 2019, 10:30
10 Mar 2019, 10:30
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85% (01:16) correct
14% (02:46) wrong based on 68 sessions
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The surface area of a cube with side length (x + 4) is 294. What is the value of x?
A. -10
B. -1
C. 3
D. 7
E. 19
A. -10
B. -1
C. 3
D. 7
E. 19
Re: The surface area of a cube with side length (x + 4) is 294.
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17 Mar 2019, 17:45
17 Mar 2019, 17:45
2
Expert Reply
A cube has 6 square faces. Each face has an area of (x + 4)².
The total surface area of the cube, then, will be 6*(x+4)². Hence:
6*(x+4)² = 294
Start by dividing by 6:
(x+4)² = 49
Take the square root of both sides:
x + 4 = 7
Subtract 4:
x = 3
The total surface area of the cube, then, will be 6*(x+4)². Hence:
6*(x+4)² = 294
Start by dividing by 6:
(x+4)² = 49
Take the square root of both sides:
x + 4 = 7
Subtract 4:
x = 3
Re: The surface area of a cube with side length (x + 4) is 294.
[#permalink]
25 Sep 2024, 12:44
25 Sep 2024, 12:44
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