If the length, breadth and height of a cuboid are 2m, 2m
and 1m respectively, then the surface area in m square will be
Answer with explanation
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Answers
Answer:
Step-by-step explanation:
let us assume length as 'l'
breadth as 'b'
height as 'h'
total surface area of a cuboid is 2(l*b+b*h+h*l)
= 2(2*2+1*2+1*2)
= 2(4+2+2)
= 2(8)
= 2*8
=
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NOTE :- SURFACE AREA IS REFFERED TO TOTAL SURFACE AREA
Given: Length of cuboid (l) = 2m
Breadth of cuboid (b) = 2m
Height of cuboid (h) = 1m
To Find: Surface area of the cuboid
Solution:
Surface area of cuboid = ( 2lb + 2lh + 2bh ) m²
= 2 (lb + lh + bh) m²
= 2 (2 2 + 2 1 + 2 1 ) m²
= 2 ( 4 + 2 + 2) m²
= ( 2 8 ) m²
= 16 m²
Answer: The surface area of the cuboid is 16 m².
Note
- A cuboid has 6 sides and each side is in the shape of a rectangle. The formula for the area of a rectangle is length multiplied by breadth.
- Thus, we need to find the area of six surfaces to find the area of the entire cuboid.
- When we are multiplying 2 with length multiplied by breadth, we are finding the area of the two opposite surfaces. Simultaneously, this is done with all the other surfaces. Thus, a total of six areas are found and then added.
- This gives us the surface area of the cuboid.