5. CUBOID
6 Rectangular faces
8 Vertices
12 Edges
PROPERTIES OF CUBOID
l - length
b - breadth
h- height
DIMENSIONS OF CUBOID
6. SURFACE AREA OF CUBOID
T S A
Total Surface Area of a cuboid (TSA) = Sum of all the rectangular faces
= Area ( front + back + top + bottom + left + right)
7. PROBLEM :
Given a cuboid having dimension given as, length = 8 cm, breadth = 6 cm and height = 5 cm. Find the TSA of a cuboid.
TSA
Solution :
Given l =
b =
h =
= 2
Therefore, the total surface area of the given cuboid is 236 cm².
8 cm
6 cm
5 cm
( 8×6 + 6×5 + 5×8 )
8. SURFACE AREA OF CUBOID
L S A
Lateral Surface Area of a cuboid (LSA) = Sum of all the lateral rectangular faces
= Area ( front + back + left + right)
10. SURFACE AREA OF CUBE
Total Surface Area of a cube (TSA) = Sum of all the square faces
T S A
= 6𝑎2
= 6 (𝑎 𝑥 𝑎)
L S A
Lateral Surface Area of a cube (LSA) = Sum of all the lateral square faces
= 4 (𝑎 𝑥 𝑎)
= 4𝑎2
= 𝑎2
+ 𝑎2
+ 𝑎2
+ 𝑎2
+ 𝑎2
+ 𝑎2
11. PROBLEM :
Find the length of the edge of the cube, if its area is 2400 sq.cm.
Solution :
Given
6𝑎2
=
𝑇𝑆𝐴 = 2400 cm²
2400 cm²
𝑎2 = 2400 / 6 = 400
𝑎2
= 400
𝑎 = 20
Therefore, the length of the edge of the cube is 20 cm.
a
12. SUMMARY :
CUBOID :
Properties :
6 Rectangular Faces
8 Vertices
12 Edges
Surface area
x
CUBE :
Cube is a cuboid with all its dimensions equal.
Properties :
6 Square Faces
8 Vertices
12 Edges
Surface area
TSA = 6𝑎2
LSA = 4𝑎2
Editor's Notes
2( (8×6) + (6×5) + (5×8))
= 2(48 + 30 + 40)
= 2(118)
= 236
So, the total surface area of this cuboid is 236 cm².