Answer:
The answer is " [tex]\bold{200 \ cm^3}[/tex]".
Explanation:
The volume of rectangular prism V:
Formula:
[tex]V= l \times \ w \times h\\[/tex]
where l is length, w is width, h is height.
Given values:
h =12 cm
w= 5 cm
It is defined that it is a square base, that's why all the sides are the same size.
[tex]V1 =12 \times 5 \times 5\\\\V1= 300 \ cm^3\\\\ \ for \ V2 = \frac{1}{3} \times l \times w \times h\\\\V2= \frac{1}{3} \times 12 \times 5 \times 5\\\\V2 = \frac{1}{3} \times 300 \\\\V2 = 100 \ cm^3\\\\[/tex]
To calculate the final volume of prism we subtract [tex]V1-V2[/tex]:
[tex]V= V1-V2\\\\V= 300 -100\\\\V= 200 \ cm^3[/tex]
