Respuesta :
Answer:
Volume of the rectangular prism is given by,
[tex]\frac {15}{2x}[/tex] unit .
Step-by-step explanation:
According to the question,
height of the prism = [tex]\frac {5}{2x + 8}[/tex] unit = h (say)
depth of the prism = [tex]\frac {x + 4}{4}[/tex] unit = w (say)
length of the prism = [tex]\frac {12}{x}[/tex] unit = l (say)
So,
the volume of the rectangular prism,
V = lwh
= [tex]\frac {5}{2x + 8} \times \frac {x + 4}{4} \times \frac {12}{x}[/tex] unit
= [tex]\frac {15}{2x}[/tex] unit
