Assuming carbon-14 has a half-life of 5730 years, give the approximate age of a wooden spear found by an anthropologist, if the spear has 34% of the original (100%) carbon-14 concentration?​

Let the width be x inches. And it is given that length is 1 more then the width, so length = (x+1)inches . And it is given that height is 1 more then the length , so height is (x+1+1) inches = (x+2) inches

THe formula of volume is

Volume = length times width times height .

Substituting the values of volume, length , width and height,we will get

847.875 = x(x+1)(x+2)

On multiplying the right side, we will get

Subtracting 847.875 to both sides

That gives x= 8.5

So the width =8.5 inches, length = 8.5+1 =9.5 inches and height =9.5+1 =10.5 inches .