Answered

Welcome to Westonci.ca, the ultimate question and answer platform. Get expert answers to your questions quickly and accurately. Join our Q&A platform to connect with experts dedicated to providing precise answers to your questions in different areas. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.

The total surface area of a cube is 96cm2, find its volume.

Sagot :

gmany

Answer:

[tex]\huge\boxed{V=64cm^3}[/tex]

Step-by-step explanation:

The formula of a surface area of a cube:

[tex]SA=6a^2[/tex]

The formula of a volume of a cube:

[tex]V=a^3[/tex]

We have

[tex]SA=96cm^2[/tex]

Calculate the edge length (a).

[tex]6a^2=96[/tex]           divide both sides by 6

[tex]a^2=16\to a=\sqrt{16}\\\\a=4(cm)[/tex]

Calculate the volume of a cube:

[tex]V=4^3=64(cm^3)[/tex]

Thank you for your visit. We are dedicated to helping you find the information you need, whenever you need it. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. We're here to help at Westonci.ca. Keep visiting for the best answers to your questions.