Answer:
Answer: C.Fraction 11 and 1 over 4 cubic inches
Step-by-step explanation:
The volume of a rectangular prism of length L, width W, and height H is given by:
V=LWH
The prism is packed with cubes of a side length of a=1/2 inch. The volume of each cube is:
[tex]V_c=a^3=\left(\frac{1}{2}\right)^3=\frac{1}{8}\ in^3[/tex]
The prism is packed with L=5, W=3, and H=6, thus the volume (in cubes) is:
V=5*3*6=90\ cubes
Since each cube has a volume of [tex]\frac{1}{8} in^3[/tex]:
[tex]V=90\cdot\frac{1}{8}=\frac{45}{4}[/tex]
Expressing as a mixed fraction:
[tex]V=\frac{45}{4}=\frac{44+1}{4}=11\frac{1}{4}[/tex]
Answer: C.Fraction 11 and 1 over 4 cubic inches
