If the cube shown has a volume of 1,000 cm3, what is the length of the diagonal, x, of the cube? (rounded to the nearest tenth)
A) 16.6 cm
B) 16.9 cm
C) 17.3 cm
D) 17.8 cm
Answers
Answered by
1
Answer: 17.3 cm
Step-by-step explanation:Since, s3 = 1,000 → s =
1,000
→ s = 10.
If
y2 = 102 + 102 → y =
100 + 100
=
200
then,
x2 = 102 + (
200
)2 → x =
100 + 200
=
300
≈ 17.32
Answered by
2
C) 17.3 cm
The length of the diagonal, x, of the cube is 17.3 cm.
Explanation:
Given : The volume of the cube = 1,000 cm³
Since Volume of cube = (side)³
⇒ (side)³= 1000
Taking cube root on both sides , we get
side =10 cm
Also, the length of the diagonal in a cube =
So , the length of the diagonal in given cube =
[ ]
Hence, the length of the diagonal, x, of the cube is 17.3 cm.
Thus , the correct answer is C) 17.3 cm .
# Learn more :
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