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Neko [114]
2 years ago
6

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

Mathematics
1 answer:
alekssr [168]2 years ago
3 0

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
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