Answered

Discover the best answers at Westonci.ca, where experts share their insights and knowledge with you. Connect with a community of experts ready to provide precise solutions to your questions on our user-friendly Q&A platform. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.

Tabitha found the side length of a cube with a volume of 512 cubic centimeters using the following steps. The volume of a cube is given by [tex] V = s^3 [/tex].

1. Substitute the value into the formula: [tex] 512 = s^3 [/tex].
2. Undo the cube: [tex] \sqrt[3]{512} = 8 [/tex].
3. Solution and explanation: [tex] s = 8 \, \text{cm} [/tex] because [tex] 8^3 = 8 \cdot 8 \cdot 8 = 512 [/tex].

Follow Tabitha's steps to find the side length of a cube with a volume of [tex] 27 \, \text{cm}^3 [/tex].

What is the side length? [tex] \square \, \text{cm} [/tex]

Sagot :

GinnyAnswer
To find the side length of a cube with a volume of [tex]\( 27 \)[/tex] cubic centimeters, let's follow the steps mentioned:

1. Substitute the given volume into the formula for the volume of a cube, [tex]\( V = s^3 \)[/tex]:
[tex]\[ 27 = s^3 \][/tex]

2. To find the side length [tex]\( s \)[/tex], we need to solve for [tex]\( s \)[/tex] by taking the cube root of both sides of the equation:
[tex]\[ \sqrt[3]{27} = s \][/tex]

3. Calculate the cube root of 27:
[tex]\[ s = 3 \quad \text{because} \quad 3^3 = 3 \cdot 3 \cdot 3 = 27 \][/tex]

Therefore, the side length of the cube is [tex]\( 3 \)[/tex] cm.
We hope this was helpful. Please come back whenever you need more information or answers to your queries. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. We're dedicated to helping you find the answers you need at Westonci.ca. Don't hesitate to return for more.