Volume of a prism = Area of base * height

Here the base is a rectangle and area of base = length * width.

If the length is tripled and width is doubled, the new base area becomes

(3 * length)*(2 * width) = 6 * length * width = 6 * original area of base

Since height is unchanged, the new volume = new base area * height

= 6 * original base area * height

= 6 * original volume (===> since volume = base area * height)

= 6 * 100 = 600 cub-cm.



Hope you got it :)



 

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