Question

The total surface area of a cube is 150 sq.cm. The volume of the cube is *
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Answer 1

Answer:

6*150^2=6*23000=138000cm^2

Step-by-step explanation:

Answer 2

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The total surface area of a cube is 150 cm². Find the volume of the cube.

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Given -

Total surface area of a cube= 150 cm²

Total surface area of a cube = 6a²

(a= side of a cube)

150 = 6a²

a² = 150/6

a² = 25

a = √25

a =√5×5

a = 5cm

Volume of a cube= a³

Volume of a cube= 5³

Volume of a cube = 5 × 5 × 5 = 125

Hence, the Volume of a cube= 125 cm³

✭ More to know -

❁ Formulas realted to Surface Areas and Volumes -

• Total Surface Area of a square - a²  (a= side of the square)

• Total Surface Area of a rectangle/parellelogram - bh (b = breadth, h = height)

• Total Surface Area of a circle - πr²  (r = radius)

• Total Surface Area of a triangle = 1/2bh (b = base, h = height)

• Total Surface Area of a cube - 6a²
• Total Surface Area of a cuboid - 2(lb + bh + hl)

• Total Surface Area of a cylinder - 2πr (r + h)
• Total Surface Area of a cone - π r (r + l)

• Total Surface Area of a sphere - 4πr²

• Total Surface Area of a hemisphere - 3πr²

• Curved Surface Area of a cube - 4a²

• Curved Surface Area of a cuboid - 2h(l + b)

• Curved Surface Area of a cylinder - 2πrh

• Curved Surface Area of a cone - πrl

• Curved Surface Area of a sphere -  4πr²

• Curved Surface Area of a hemisphere - 3πr²

NOTE - The formulas should be learnt in order to solve the sums.

Hope this helps uh! ♡