find the total surface area lateral surface area and length of the diagonal of a cuboid which is 5 metre long for 4 metre broad and 3 metre high
please answer me fast
And diagonal wala bhi aacha se solve karna
Answers
Answered by
8
Step-by-step explanation:
total surface area=96m²
lateral surface area=66m²
length of diagnol=√50
Answered by
37
Given :-
- A cuboid which is 5 metre long for 4 metre broad and 3 metre high
To find :-
- Total surface area of cuboid
- Lateral surface area of cuboid
- Diagonal of cuboid
Solution :-
- Length of cuboid (l) = 5m
- Breadth of cuboid (b) = 4m
- Height of cuboid (h) = 3m
Total surface area of cuboid
→ 2(length × breadth + breadth × height + Length × height)
→ 2(lb + bh + lh)
→ 2(5 × 4 + 4 × 3 + 5 × 3)
→ 2(20 + 12 + 15)
→ 2(32 + 15)
→ 2 × 47
→ 94 m²
So, total surface area of cuboid is 94m²
Lateral surface area of cuboid
→ 2(length + breadth)height
→ 2(l + b)h
→ 2(5 + 4)3
→ 2 × 9 × 3
→ 18 × 3
→ 54 m²
Hence, lateral surface area of cuboid is 54 m²
Diagonal of cuboid
→ D = √l² + b² + h²
→ D = √(5)² + (4)² + (3)²
→ D = √25 + 16 + 9
→ D = √25 + 25
→ D = √50
→ D = 7.07m
Therefore,
- Total surface area of cuboid = 94 m²
- Lateral surface area of cuboid = 54 m²
- Diagonal of cuboid = 7.07 m
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