Answer:
D. [tex]18 \frac{3}{64}[/tex]
Step-by-step explanation:
We use the formula for volume.
[tex]v=l*w*h[/tex]
The length is [tex]3\frac{1}{2}[/tex] or [tex]\frac{7}{2}[/tex].
The width is [tex]1\frac{7}{8}[/tex] or [tex]\frac{15}{8}[/tex].
The height is [tex]2\frac{3}{4}[/tex] or [tex]\frac{11}{4}[/tex].
We then substitute the numbers in the formula.
[tex]v=3\frac{1}{2}*1\frac{7}{8} *2\frac{3}{4}\\\\v=\frac{7}{2} *\frac{15}{8} *\frac{11}{4}[/tex]
Multiply [tex]\frac{7}{2}[/tex] and [tex]\frac{15}{8}[/tex] .
[tex]v=\frac{105}{16} *\frac{11}{4}[/tex]
Then, you multiply [tex]\frac{105}{16}[/tex] and [tex]\frac{11}{4}[/tex] .
[tex]v= \frac{1155}{64}[/tex]
The mixed fraction for [tex]\frac{1155}{64}[/tex] is [tex]18 \frac{3}{64}[/tex] .
