The volume of a cube is 1000 cm. Find the length of one side. Round to the nearest whole number. Only type the value of the length of the side.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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The problem states:

"The volume of a cube is 1000 cm³. Find the length of one side. Round to the nearest whole number."

Instructions:
- Only type the value of the length of the side.

To solve this, recall that the volume \( V \) of a cube with side length \( s \) is given by the formula:

\[ V = s^3 \]

Given that the volume is 1000 cm³, we need to find \( s \):

\[ s^3 = 1000 \]

Taking the cube root of both sides:

\[ s = \sqrt[3]{1000} = 10 \]

Thus, the length of one side of the cube is 10 cm.
Transcribed Image Text:The problem states: "The volume of a cube is 1000 cm³. Find the length of one side. Round to the nearest whole number." Instructions: - Only type the value of the length of the side. To solve this, recall that the volume \( V \) of a cube with side length \( s \) is given by the formula: \[ V = s^3 \] Given that the volume is 1000 cm³, we need to find \( s \): \[ s^3 = 1000 \] Taking the cube root of both sides: \[ s = \sqrt[3]{1000} = 10 \] Thus, the length of one side of the cube is 10 cm.
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