A right rectangular prism has these dimensions:

1 answer:

3 0

Hey there :)

The volume formula of a rectangular prism is
V = height x length x width

Given are:
Length = $1\frac{1}{2} = \frac{3}{2}$
Width = $\frac{1}{2}$
Height = $\frac{3}{4}$

Lets find the volume:
V = $\frac{3}{2}$ x $\frac{1}{2}$ x $\frac{3}{4}$
= $\frac{9}{16}$ units³

The volume formula of a cube is
V = side³

Given is:
Side = $( \frac{1}{4} )^3$
= $\frac{1}{64}$ units³

To find how many cubes fit in the rectangular prism, we divide the volumes
Volume of prism divided by volume of cube
$\frac{9}{16}$ ÷ $\frac{1}{64}$
Since it is a fraction that is involved in division, we find the reciprocal and multiply

= $\frac{9}{16}$ x 64
= 36

Your answer will be the 1st option

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