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In Mathematics / High School | 2025-07-03

A wooden cube has a volume of 0.4789 cm³. What is the length of one side? (to 4 decimal places)

A. 0.1098
B. 0.1093
C. 0.7824
D. 0.7823

Asked by vanessagallegos2375

Answer (2)

To find the length of one side of a cube with a volume of 0.4789 cm³, we calculate the cube root of the volume. The length of one side is approximately 0.7823 cm, which corresponds to option D. Therefore, the correct answer is D. 0.7823.
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Answered by Anonymous | 2025-07-04

To find the length of one side of a wooden cube given its volume, you can use the formula for the volume of a cube:
V = s 3
where V is the volume and s is the side length of the cube. Given that the volume V is 0.4789 cm³, you can find s by taking the cube root of the volume:
s = 3 0.4789 ​
To calculate 3 0.4789 ​ , you can either use a calculator or apply estimation methods. Using a calculator, you can determine:
s ≈ 0.7824
Therefore, the length of one side of the cube is approximately 0.7824 cm to four decimal places.
The correct multiple-choice option is C. 0.7824 .

Answered by LucasMatthewHarris | 2025-07-06

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