Answer:
65.4 cm²
Step-by-step explanation:
The volume of a cuboid is calculated by multiplying the length, base, and height together. Since a cube has equal sides, the formula for the volume of a cuboid can be simplified as shown below.
Volume of cube
= side ×side ×side
= side³
Given that the volume is 36 cm³, let's find the length of each side.
side³= 36
Cube root both sides:
side=[tex]\sqrt[3]{36}[/tex]
Total surface area of a cube is the sum of the surface areas of its 6 identical square faces.
Area of a square
= side ×side
= side²
Surface area of 1 face= [tex](\sqrt[3]{36})^2[/tex]
Total surface area
= [tex]6(\sqrt[3]{36} )^2[/tex]
= 65.416 (5 s.f.)
= 65.4 cm² (nearest tenth)
Additional:
To learn more about surface area of cube, do check out the following!
