melanie has a set of cubes. each cube has a measure of 2 inches on each edge. if 27 of the cubes completely fill a box, what is the volume of the box?
A 108 cu in.
B 216 cu in.***
C 54 cu in.
D 27 cu in.
correct
The answers to the LEAP Math Midtest- 7 (GT) are:
C
B
D
B
A
A
C
D
B
D
A
C
B
C
A
D
C
D
B
A
C
A
B
D
C
A
D
B
C
C
A
B
D
C
D
B
C
D
B
A
C
B
D
A
B
A
C
D
D
B
To find the volume of the box, we need to calculate the volume of each cube and then multiply it by the number of cubes.
Since each cube has a measure of 2 inches on each edge, the volume of each cube can be calculated by multiplying the length, width, and height. In this case, since all edges are 2 inches, we have:
Volume of one cube = length x width x height = 2 inches x 2 inches x 2 inches
Simplifying this:
Volume of one cube = 8 cubic inches
Now, we know that there are 27 cubes completely filling the box. So, to find the volume of the box, we need to multiply the volume of one cube by the number of cubes:
Volume of the box = Volume of one cube x Number of cubes = 8 cubic inches x 27
Calculating this:
Volume of the box = 216 cubic inches
Therefore, the correct answer is option B: 216 cu in.