The volume of a cube is 1728 cm^3. Find its total surface area
Answers
Answer:
- TSA of cube = 864 cm².
Step-by-step explanation:
GiVen:
- Volume of cube = 1728 cm³.
To find:
- Total surface area of cube?
Solution:
- Here, First of all we'll calculate side of cube from it's given volume. Then, We'll Substitute value of side in formula of Total surface area.
☯ Let side of cube be x cm.
We know that,
★ Volume of cube = (side)³
Therefore,
→ x³ = 1728
→ x³ = 12³
→ x = 12 cm
∴ Thus, side of cube is 12 cm.
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Now, Finding Total surface area of cube,
★ TSA of cube = 6(side)²
Therefore,
→ TSA = 6 × (12)²
→ TSA = 6 × 144
→ TSA = 864 cm²
∴ Hence, Total surface area of cube is 864 cm².
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★ Some Formulas related to it:
- Curved surface area of cube = 4a²
- Total surface area of cube = 6a²
- Volume of cube = a³
- Curved surface area of cuboid = 2(l + b)h
- Total surface area cuboid = 2(lb + bh + hl)
- Volume of cuboid = l × b × h
Answer:
it is 864 cm²
Step-by-step explanation:
as we know volume of cube is=a³
a³=1728 cm³
a=12 cm
surface area of a cube =6a²
=6x12x12
=6x144
=864 cm²