Question

Carson uses cubes to make a pattern of shapes. The first shape has a height of

Answer 1

Answer:

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  

Step-by-step explanation:

I have drawn a picture of the cubes below.

The cubes for Step 1 are black.

Those added in Step 2 are pink.

Each step has cubes of a different colour.

$\begin{array}{cccc}\textbf{Step} & \textbf{Height} &\textbf{Length} & \textbf{Cubes}\\1& 2 & 2 & 2\\2 & 3 & 3 & 9\\3& 4 & 4 & 16\\4 & 5 & 5 & 25\\5 & 6 & 6 & 36\\\end{array}$

The total number of cubes in each shape (Column 4 in the table) alternates between even and odd.

The length of each shape (Column 3 in the table) alternates between even and odd.