Question

Can you help me set these up?

1.When 0.5cm was planed off each of the six faces of a wooden cube, its volume decreased by 169cm^3. Find its new volume.

2. The width, length, and diagonal of a rectangle are consecutive even integers. Find the integers

Answer 1

1) original volume= s^3
new volume=s^3-169=(s-.5)^3
multipy out the cube, and then solve. The s^3 should go away.

2)in a rectangle, diagonal^2=width^2+length^2

let n be width, n+2 be length, and n+4 be diagonal

(n+4)^2=n^2+(n+2)^2
solve for n