Mathematics
Eight identical cubes, each of edge 5 cm, are joined end to end. Find the total surface area and the volume of the resulting cuboid.
Surface Area, Volume, Capacity
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Answer
The length (l) of cuboid = 8 x 5 cm = 40 cm
The breadth (b) of cuboid = 5 cm
The height (h) of cuboid = 5 cm
As we know total surface area of the cuboid = 2(l x b + b x h + h x l)
= 2(40 x 5 + 5 x 5 + 5 x 40) cm2
= 2(200 + 25 + 200) cm2
= 2 x 425 cm2
= 850 cm2
As we know, volume of the cuboid = l x b x h
= 40 x 5 x 5 cm3
= 1,000 cm3
Hence, the total surface area of the cuboid is 850 cm2 and the volume is 1,000 cm3.
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