Carson uses cubes to make a pattern of shapes. The first shape has a height of 2 cubes and a length of 2 cubes, as shown below. For each step in the pattern,
Carson adds 1 cube to the height and 1 cube to the length. Which sentence
about the shapes in Carson's pattern is true?
Step 1
height
length
» The total number of cubes in each
shape will alternate between even and
odd.
)) The length of each shape will alternate
between even numbers and odd
numbers.
1) The length of each shape will be an
even number
()) The total number of cubes in each
shape will be even. I
​

The length of each shape will alternate  between even numbers and odd

numbers.

Step-by-step explanation:

A cube is a 3 dimensional object that has equal length, width and height. It is has area of a cube.

Carson uses 2 cubes for the height and length for a start. He adds 1 cube to the length and height with respect to each stage. Since the length of each cube is the same, then consistent addition increases the length by same factor.

The length of each cube equals 1 unit, then he starts with 2 (length equals 2 units), next stage add 1 to make up 3(length equals 3 units). He add another 1 more for another stage to make up 4 (length equals 4 units)... This addition continues depending on the number of stages required.

Therefore, it can be deduced that the length of each shape will alternate

between even numbers and odd  numbers.

hope this helps