Question

The volume of a cube is 36 cm3. What is the surface area of the cube, rounded to the nearest tenth of a cm2

Answer 1

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=$\sqrt[3]{36}$

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= $(\sqrt[3]{36})^2$

Total surface area

= $6(\sqrt[3]{36} )^2$

= 65.416 (5 s.f.)

= 65.4 cm² (nearest tenth)

Additional:

To learn more about surface area of cube, do check out the following!

• brainly.com/question/21600799