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Question

The length, breadth and height of a metal box are (x+5),(x2) and (x1) respectively. What is its volume?

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Solution

Volume of cuboid is length×breadth×height

Here, the length is (x+5), breadth is (x2) and height is (x1).

Therefore, the volume of cuboid is:

length×breadth×height=(x+5)(x2)(x1)

Firstly multiply the first and second term as follows:

(x+5)(x2)(x1)=[(x×x)+(x×2)+(5×x)+(5×2)](x1)=(x22x+5x10)(x1)
=(x2+3x10)(x1)

Now multiply the resulting expression:

(x2+3x10)(x1)=(x2×x)+(x2×1)+(3x×x)+(3x×1)+(10×x)+(10×1)
=x3x2+3x23x10x+10=x3+2x213x+10

Hence, volume of cuboid id x3+2x213x+10.




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