Question

A student makes a rectangular prism using cubes with sides that measure 1/3 inch. How many cubes should the student use to make a rectangular prism with a volume of 1 cubic inch?

Answer 1

We know that
[volume of a cube]=b³
where b is the length side of a cube
for b=1/3 in
Volume of a cube=(1/3)³---------> 1/27 in³


if one cube has a volume -------------> (1/27) in³
X--------------------------------------------->  1 in³ (volume of a prism)
X=1/(1/27)---------> 27 cubes

the answer is 27 cubes