Question

the volume of a rectangular prism is 2,058 cubic cm. the length of the prism is 3 times the width. the hieght is twice the width. find the width of the prism.

Answer 1

l=3w
h=2w

area of base =l*w

volum of prism = area of base * height

2,058 = l*w *h but you know that l=3w and h=2w so than we get

2,058 = 3w*w*2w so
2,058 = 6w^3 divide both sides by 6
0,343 = w^3

w = cuberoot(0,343)