Three cubes of side 8cm are joined end to end. Find the surface area and volume of the resulting figure.
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Answered by
2
Given:
Three cubes of side 8cm and joined end to end.
Find:
Total surface area of cuboid.
Solution:
The dimensions of the resulting cuboid are:-
Length = 8 + 8 + 8 = 24cm
Breadth = 8cm
Height = 8cm
We know that;
Total surface area of the cuboid = 2(lb + bl + lh)
=> 2(24 × 8 + 8 × 8 + 8 × 24)
=> 2(192 + 64 + 192)
=> 2(448)
=> 896cm²
Total surface area of the cuboid = 896cm².
Hence, Total surface area of the cuboid is 896cm².
Important Information:
- Total Surface area = 2 (Length x Breadth + breadth x height + Length x height)
- Surface area = 2 height(length + breadth)
- Volume of the cuboid = (length × breadth × height)
- Diagonal of the cuboid =√( l2 + b2 +h2)
- Perimeter of cuboid = 4 (length + breadth + height)
I hope it will help you.
Regards.
Answered by
1
Answer:
=> 2(24 × 8 + 8 × 8 + 8 × 24)
=> 2(192 + 64 + 192)
=> 2(448)
=> 896cm²
Total surface area of the cuboid = 896cm².
Hence, Total surface area of the cuboid is 896cm².
Step-by-step explanation:
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