Question

If volume of a cube is 1512 cu ft, the side of the cube will be ______ ft.

• A. $36\sqrt{7}$
• B. $6\sqrt[5]{57}$
• C. $36\sqrt[3]{37}$
• D. $6\sqrt[3]{37}$

Answer 1

The correct option is D $6\sqrt[3]{37}$

Volume of the cube is given as 1512 cu ft.
You know,
$Lengthofoneside=\sqrt[3]{3Volumeofthecube}$
∴ Length of one side = $\sqrt[3]{31512}=\sqrt[3]{36\times 6\times 6\times 7}=6\times \sqrt[3]{37}=6\sqrt[3]{37}$ft.