Maths-
General
Easy
Question
A metal cube with a 6 cm edge is melted and cast into a cuboid whose base is 3.60x 0.60 cm2 .Calculate the height of the cuboid. Also, find the total surface area of the cuboid and cube respectively
- 422 cm2and 844.32 cm2
- 422.16 cm2and 216 cm2
- 844.32 cm2 and 216 cm2
- 216 cm2and 211.08 cm2
Hint:
TSA of cuboid = 2[lb + bh + hl]
TSA of cube = 6x2
Volume of cube = x3
Volume of cuboid = l x b x h
where , l is length, b is breadth , h is height
x is side of cube
The correct answer is: 844.32 cm2 and 216 cm2
We have given edge of the metal cube a = 6cm
Dimensions of cuboid
Length l = 3.60
Breadth b = 0.60
We have to find the height of the cuboid h.
As the both solids have same amount of material their volume will be same
l x b x h = a3
3.60 x 0.60 x h = 63
2.16 x h = 216
Dividing both sides by 2.16 we get,
h = 100
TSA of cube = 6a2
= 6(6)2
= 6(36)
= 216 sq.cm
TSA of cuboid = 2[lb + bh + hl]
= 2[(3.60)(0.60) + (0.60)(100) + (100)(3.60)]
= 2[ 2.16 + 60 + 360 ]
= 2[ 422.16 ]
= 844.32 sq.cm
Therefore, the correct option is c) 844.32 cm2 and 216 cm2.
Dividing both sides by 2.16 we get,
Therefore, the correct option is c) 844.32 cm2 and 216 cm2.
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