Question

A rectangular block has 20,25 and 30 as length, width and height respectively. If the sides of the block are extended by the same length x, what is the equation for the new volume?

• A. V(x)=$x^3+65x^2+1850x+15000$
• B. V(x)=$x^3+75x^2+185x+15000$
• C. V(x)=$x^3+75x^2+1850x+15000$
• D. V(x)=$x^3+75x^2+1850x+1500$

Answer 1

The correct option is C

V(x)=$x^3+75x^2+1850x+15000$

New lengths of sides are:(x+20),(x+25) and (x+30)

New volume =$length\times width\times height$

New volume=(x+20)(x+25)(x+30)

New volume V(x)=$x^3+75x^2+1850x+15000$