Find the total surface area of:
(i) a cube of edge 8.5cm
(ii) A cuboid of length = 5.5 cm,
breadth = 3.4 cm and height = 2 cm.
Plz give answer of my question plz..
Answers
(i)
Given :
- Edge of the cube = 8.5 cm
To Find :
The total surface area.
Required Formula :
Total surface area = 6a²
where,
- a = edge or side
Explanation :
We know that if we are given the side or edge of the cube and is asked to find the total surface area of the cube then the required formula is,
Total surface area = 6a²
where,
- a = 8.5 cm
Substituting the required values,
⇒ TSA = 6(8.5)²
⇒ TSA = 6(72.25)
⇒ TSA = 6 × 72.25
⇒ TSA = 433.5
∴ TSA = 433.5 cm².
Total surface area of cube is 433.5 cm².
(ii)
Given :
- Length = 5.5 cm
- Breadth = 3.4 cm
- Height = 2 cm
To Find :
The total surface area.
Required Formula :
Total surface area = 2(lb + bh + lh)
where,
- l = Length
- b = Breadth
- h = Height
Explanation :
We know that if we are given the length, breadth and height of the cuboid and is asked to find the total surface area of the cuboid then the required formula is,
Total surface area = 2(lb + bh + lh)
where,
- l = 5.5 cm
- b = 3.4 cm
- h = 2 cm
Substituting the required values,
⇒ TSA = 2(lb + bh + lh)
⇒ TSA = 2[(5.5)(3.4) + (3.4)(2) + (5.5)(2)]
⇒ TSA = 2[18.7 + 6.8 + 11]
⇒ TSA = 2[36.5]
⇒ TSA = 2 × 36.5
⇒ TSA = 73
∴ TSA = 73 cm².