Question

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Answer 1

Question :-

Total surface area of a cubical block of wood is 5400 cm. Find the side of cube.

Given :-

• Total surface area of cubical block of wood is 5400 cm².

To find :-

• The side of cube.

According to the question,

➞ Total surface area of cubical block = 6a²

➞ 5400 = 6a²

➞ 5400 ÷ 6 = a²

➞ 900 = a²

➞ √900 = a

➞ 30 = a

• So, the side of cube is 30 cm.

____________________

More Formulas :-

• Area of rectangle = Length × Breadth
• Area of square = Side × Side
• Surface area of a cube = 6a²
• Surface area of cuboid = 2(lb + bh + hl)
• Volume of cuboid = l × b × h
• Total surface area of a hemisphere = 3πr²
• Curved surface area of a cone = πrl
• Total surface area of a cylinder = 2πr(r + h)

Answer 2

Answer:

Given :-

• Total surface area of a cuboidal block of wood is 5400 cm sq.

To Find :-

• What is the side of cube.

Formula Used :-

★Total surface area = 6a² ★

Solution :-

Given :

• T.S.A of a cuboidal block = 5400

According to the question by using the formula we get,

⇒ 6a² = 5400

⇒ a² = 5400 ÷ 6

⇒ a² = 900

⇒ a = √900

➠ a = 30

∴ The side of cube is 30 cm .

✰ Important Formula ✰

◉ Total Surface area = 6(side)²

◉ Lateral surface area = 4(side)²

◉ Volume of cube = (side)³

◉ Diagonal of a cube = √3

◉ Perimeter of cube = 12 × side