Question

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.

Answer 1

Answer:

Volume of the rectangular prism will be $23.625cm^3$

Step-by-step explanation:

We have given that length of the prism $length=3\frac{1}{2}width=\frac{7}{2}width$

Height $=\frac{1}{4}width$

We have given width = 3 cm

So length = $\frac{7}{2}\times 3=\frac{21}{2}=10.5cm$

Height h = $\frac{1}{4}\times 3=\frac{3}{4}=0.75cm$

We know that volume of rectangular prism is given by

$V=length\times width\times height=10.5\times 3\times 0.75=23.625cm^3$