ccollinsphotogr5046 ccollinsphotogr5046
  • 14-10-2019
  • Mathematics
contestada

The length of a rectangular prism is 3 1/2 times as long as the width. The height is 1/4 of the width. The width is 3 cm. Determine the volume.

Respuesta :

aristeus aristeus
  • 15-10-2019

Answer:

Volume of the rectangular prism will be [tex]23.625cm^3[/tex]

Step-by-step explanation:

We have given that length of the prism [tex]length=3\frac{1}{2}width=\frac{7}{2}width[/tex]

Height [tex]=\frac{1}{4}width[/tex]

We have given width = 3 cm

So length = [tex]\frac{7}{2}\times 3=\frac{21}{2}=10.5cm[/tex]

Height h = [tex]\frac{1}{4}\times 3=\frac{3}{4}=0.75cm[/tex]

We know that volume of rectangular prism is given by

[tex]V=length\times width\times height=10.5\times 3\times 0.75=23.625cm^3[/tex]

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