The dimensions of a rectangular prism are shown below: length: 2 and 1 over 4 feet width: 1 foot height: 1 and 1 over 4 feet the lengths of the sides of a small cube are 1 over 4 foot each. part a: how many small cubes can be packed in the rectangular prism? show your work. (5 points) part b: use the answer obtained in part a to find the volume of the rectangular prism in terms of the small cube and a unit cube. (5 points)

A) Rectangle Area: 2 1/4 times 1 times 1 1/4 = 2 13/16

Small cube Area: 1/4 times 1/4 times 1/4 = 1/64

2 13/16 divided by 1/64 (remember when you divide fractions you flip the second fraction and multiply) equals 180

180 is final answer

he used the algebra tiles correctly.

step-by-step explanation:

given : 3x(2x-1)

solution :

since he used algebra tiles .

armando's solution is the same in the solution shown in figure

as he distributed 2x into x and x and wrote them vertically

and also write   -1 vertically

and 3x into x and x and x and wrote it horizontally

performing the multiplication in the algebra tiles we get

and solving the given expression :

3x(2x-1)

since solving the expression using tiles   and solving the expression algebraically we get the same answer

thus   we can choose the first statement as the answer to this problem which is "he used the algebra tiles correctly".