Given:
The volume of the cube is
[tex]\begin{gathered} V1=3375cm^3 \\ V2=1527cm^3 \end{gathered}[/tex]Required:
To find the side length of the cube.
Explanation:
The formula for volume of the cube is
[tex]V=a^3[/tex]Where a is the side length.
(a)
[tex]\begin{gathered} 3375=a^3 \\ \\ a=\sqrt[3]{3375} \\ \\ a=\sqrt[3]{15^3} \\ \\ a=(15^3)^{\frac{1}{3}} \\ \\ a=15cm \end{gathered}[/tex]1(b)
[tex]\begin{gathered} 1527=a^3 \\ \\ a=\sqrt[3]{1527} \\ \\ a=11.52cm \end{gathered}[/tex]Final Answer:
(a) The side length is 15cm.
(b) The side length is 11.52cm.
[tex]\begin{gathered} \sqrt[3]{8}=2 \\ \\ And \\ \\ \sqrt[3]{8}=\sqrt[3]{2^3} \\ \\ =(2^3)^{\frac{1}{3}} \\ \\ =2 \end{gathered}[/tex]