A rectangular prism measures3 1/2 cm long, 21/2 cm wide, and 1 1/2 cm high. How many cubes with side lengths of 1/2 cm are needed to fill the prism?
A.6 cubes
B.13 cubes
C.105 cubes
D.35 cubes

C. 105 Cubes

Step-by-step explanation:

Volume of rectangular prism = (length)(width)(height)

V = 3 1/2 * 2 1/2 * 1 1/2

V = 13.125 cm^3

Volume of cube = Side^3

V = 0.125 cm^3

To answer the question,

# of cubes = 13.125 / 0.125

# of cubes = 105

start with a line segment pq that we will copy. mark a point r that will be one endpoint of the new line segment. set the compasses' point on the point p of the line segment to be copied. adjust the compasses' width to the point q. the compasses' width is now equal to the length of the line segment pq.

step-by-step explanation: