Question

if total surface area of a cube is 54 cm square then the volume of the cube will be

Answer 1

Given :

• Total surface area of cube = 54 cm²

To find :

• Volume of cube?

Solution :

• All sides of cube are equal in length. So,

☯ Let each side of cube be x cm.

We know that,

★ Total surface area of cube = 6a²

→ 6 × x² = 54

→ x² = 54/6

→ x² = 9

→ x = 3 cm

∴ Thus, Side of cube is 3 cm.

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Now, volume of cube,

★ Volume of cube = a³

→ Volume = 3³

→ Volume = 27 cm³.

∴ Hence, Volume of cube is 27 cm³.

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⠀⠀⠀⠀⠀★ More to know:

• Total surface area of cube = 6a²
• Curved surface area of cube = 4a²
• Volume of cube = a³
• Total surface area of cuboid = 2(lb + bh + hl)
• Curved surface area of cuboid = 2(l + b)h
• Volume of cuboid = l × b × h

Answer 2

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Total area ➤ 6a²

➠ 6 × x² = 54

➠ x² = 54/6

➠ x² = 9

➠ x = 3 (3×3 = 9)

➠ x =3cm

➤ Volume = a³

⠀⠀⠀➠ 3³

⠀⠀⠀➠ 3×3×3

⠀⠀⠀➠27cm² Ans.