A theater wants to build movable steps that they can use to go on and off the stage. They want the steps to have enough space inside so they can also be used to store props

2880 in³

Step-by-step explanation:

Complete question: How much space is inside the steps?

SOLUTION:

See attachment for the figure.

Firstly, split this prism into two rectangular prisms.  The first one, the bottom portion of the steps, will have dimensions of 16 in x 20 in x 6 in i.e the volume

(16)(20)(6) = 1920 in³

The top part have a width of 8 inches.  This is because the entire width of the bottom is 16; the part from where the top step ends to the other side is 8 inches of it.  

Therefore, 16-8 = 8 inches for the width.

The length will be 20, similarly as the length of the whole arrangement of steps is.

The height will be 6; this is because the total height of the steps is 12 inches, and the height of only the bottom step is 6; this leaves 12-6 = 6 steps.

This gives us 8 in x 20 in x 6 in, giving us

8(20)(6) = 960 in³

Thus, the total volume :

1920+960 = 2880 in³

y = 2x

step-by-step explanation:

if you divide each number in the sequence, you'll see that they all have a multiple factor of 2. each number in the series, and any other numbers which may continue, will be multiplied by 2. therefore, y is the next number in the sequence, and x is the current one, so, our formula will be y = 2x.