A contractor is building a set of stairs out of concrete. Each stair is exactly the same length, width, and height. Staircase
Diagram shows a set of three steps of a staircase. Height of the third step from the ground measures 1.8 meters. The width from the front of the staircase to the back of the staircase measures 1.2 meters. The length of the steps measures 2.4 meters.

Which solid figures can the stairs be broken into? What are the dimensions of each solid figure?

How much concrete will be needed to form the stairs?

Dimensions:

H = 0.9 m

W = 0.4 M

L = 2.4 m

Step-by-step explanation:

As they are all the same dimensions and there are only 3 stairs, divide all the figures (except the length as it will stay the same) by 3 to get your figures.

top rectangular prism = .6 x .4 x 2.4

middle rectangular prism = .6 x .8 x 2.4

bottom rectangular prism = .6 x 1.2 x 2.4

concrete needed = 3.672 cubic meters

Step-by-step explanation:

The steps can be broken into bottom step from front to back, middle step from front to back, top step from front to back resulting in

three rectangles

The dimensions of each solid figure can be found since we know the steps are equal so we divide the height and width by 3 equal parts and the length stays the same.  So...

1.8/3=.6 m

1.2/3=.4 m

top rectangular prism = .6 x .4 x 2.4

middle rectangular prism = .6 x .8 x 2.4

bottom rectangular prism = .6 x 1.2 x 2.4

Find the volume by plugging our dimensions into the formula for volume for each step and then add all three steps together for total volume...

.6 x .4 x 2.4= .576

.6 x .8 x 2.4= 1.152

.6 x 1.2 x 2.4=1.944

add totals together...

.576 + 1.152 + 1.944=3.672

your exact question is kind of difficult to understand, so maybe an example will explain what you're supposed to do? i'll work through the first problem on the worksheet.

suppose you have a tray of 652 brownies, and you have 5 friends that you want to feed without picking favorites. how many brownies can you dole out to each of your friends in equal amounts? how many will be left over for you to eat?

what you're doing here is finding a way to arrange the number 652 as the sum of integer multiple of 5 and some remainder:

here ("q" for quotient) is the number of brownies each of your friends get, and is the remainder. that's the basic idea behind division.

we break up the number 652 into parts so that the leading digit stands on its own:

652 = 600 + 52

first we check if it's possible to hand out exactly 100 brownies to each friend. with 5 friends, this means we want to know if we can take out 500 brownies from the tray. we can do this 1 time because we have 600 brownies to take from, and when we do that we're left with 100 + 52 brownies to divvy up. so we know that

652 = 1*500 + 152

next we want to know if it's possible to hand out exactly 10 brownies per friend. if we can, we have to remove 50 brownies from the tray each time until we can't. we have 152 brownies left, and we know that 3(50) = 150, so

152 = 3*50 + 2

now we have 2 brownies left in the tray. is it possible to hand 1 out to each of your 5 friends? no, you'd need a minimum of 5 brownies to do that. so the last 2 are yours.

putting everything together, we found that

652 = 1*500 + 3*50 + 2

and we can rearrange this to write

652 = 5*100 + 5*30 + 2

652 = 5(100 + 30) + 2

652 = 5*130 + 2

so and .

you might be more accustomed to the table depicting the algorithm. that's just a compact way of organizing what we've done above. you can consult the image i've attached below.