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Praxis Elementary Education Mathematics Sample Test

1 of 5

A cubic box of dimensions 6x is filled with bricks of length 3x, width 2x and height x.

 

How many bricks does it take to completely fill the box?





the correct answer is:

36



this question is about volume. we need to compare the volume of one brick with the volume of the box.
 
step 1 find the volume of the box.
volume of box = 6x * 6x * 6x = 216x3
 
step 2 find the volume of one brick.
volume of brick = 3x * 2x * x = 6x3
 
step 3 find how many bricks fit in the box.
no. of bricks = 216x3 / 6x3
                      = 36



another way to think about this:

the length (longest side) of the brick is 3x long. it will fit 2 times across the cube.

the width is 2x. it will fit 3 times in the width of the cube.

the height is x. it will stack 6 times.


2*3*6 = 36


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Praxis Elementary Education Mathematics Aliases Test Name

Here is a list of alternative names used for this exam.

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