Question

Mary has 50 earring boxes. The boxes measure 1 inch on each side. How many rectangular prisms, each with a different – sized base, could Mary make by stacking all of the earring boxes?
A) 10

B)15 PLZZZ HELP!!!

C)25

D)50

Answer 1

Answer:D)50

WORK: 

Well box is 1 inch by 1 inch so thats 1x50=50 

So answer is 50 :33

**Sorry if wrong tried my best :33*8

Answer 2

Answer with explanation:

Number of earring boxes that Mary has =50

Dimension of each box = 1 inch× 1 inch × 1 inch=1 cubic inches

⇒Number of rectangular prisms, each with a different – sized base, that Mary can make by stacking all of the earring boxes

                     =Then, the Dimension of Box will be as follows

         = [ Length=1 inch , 1 inch≤Base≤50 inch, Height =1 inch]

=[(1,1,1), (1,2,1),(1,3,1),(1,4,1),(1,5,1),(1,6,1),(1,7,1),(1,8,1),(1,9,1),(1,10,1),(1,11,1),(1,12,1),.....,(1,50,1)]

=So, there will be , 50 different Rectangular prism ,earrings.

⇒⇒There is another way of looking at the Question.If you have to ,use each earring once then,Number of rectangular prism each with different size

      =[(1,1,1), (1,2,1),(1,3,1),(1,4,1),(1,5,1),(1,6,1),(1,7,1),(1,8,1),(1,9,1)], 5 earrings will be left,when stacked together will form the combination in the set Provided.

→So, total number of Distinct earring = 9 Rectangular prisms

Otherwise,→ number of Distinct Earring =50

Option D: 50