the length breadth and height of a cuboid are in the ratio 1 :2:3. The length, breadth and height of cuboid are increased by 200%,300% and 3w00% respectively. howw many times the volume of the cuboid is increased.
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Answer:
Let the length breadth and height of the cuboid be x,2x and 3x units.
The dimensions after increase are x+
100
100
x, 2x+
100
200
×2x, 3x+
100
200
×3x.
i.e., 2x,6x and 9x
Original volume =x×2x×3x=6x
3
Increased volume =2x×6x×9x=108x
3
∴ Increase in volume =108x
3
−6x
3
=102x
3
=17×6x
3
=17× original volume
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