two cubes of edge 6cm are joined to form a cuboid. find total surface area of cuboid
Answers
The surface area of cuboid is 360 cm².
If two cubes, each of edge 6 cm are joined, then the length (l) of the resulting cuboid will become (2×6)cm = 12cm.
The breadth (b) and height (h) will remain 6 cm.
So, the dimensions of the resulting cuboid will be 12 cm ×6 cm ×6 cm.
We know, surface area (S.A.)of a cuboid is given as:
SA = 2(lb + bh + lh) where l is the length, b is the breadth and h is the height.
Putting their respective values, we get Surface area as:
2(12×6 + 6×6 + 12×6) cm²
= 2 (72 + 36 + 72) cm²
= 2 (180) cm²
= 360 cm²
So, surface area is 360 cm².
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Answer:
Length of the resulting cuboid =12cm (l)
Breadth of the resulting cuboid =6cm (b)
And the height of the resulting cuboid =6cm (h)
The total surface area of the cuboid is =2(lb+bh+hl)
= 2(12*6+6*6+12*6)
=2(180)
=360
Step-by-step explanation: