Respuesta :
Answer:32cm
Step-by-step explanation:
From the question, we can deduce that
1. Height= 5(width)
2. Length=8(height)
which is also 8(5(width))=40(width)
The volume is length x width x height =102.4cm3
Now, we’ll put the volume equation in terms of width alone, as we’ve deduced above
40(width) x 5(width) x width = 102.4
(Solve the equation)
200(width)^3=102.4
(Divide both sides by 200)
(width)^3=102.4/200
(width)^3=512/1000
(Take cube root of both sides)
Width=8/10 or 0.8
Hence, the length=40(width)
Length=40 x 0.8
=32
Therefore, the length is 32cm
