Find the volume of the toy rocket shown. the rocket consists of a prism and a pyramid

Step-by-step explanation:

The oy rocket shown is formed by a rectangular prism and a regular pyramid whose base is a square.

The volume of the rectangular prism can be calculated with:

Where "l" is the length, "w" is the width and "h" is the height.

You can observe that:

Then, you can substitute values:

The volume of the regular square pyramid can be calculated with:

Where "s" is the lenght of a side of the base and "h" is the height of the pyramid.

You can observe in the figure that:

Substitute into the formula. Then:

The volume of the toy rocket is the sum of the volume of the rectangular prism and the volume of the regular square pyramid. Then:

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a.) list the factors of 40.

1/2/4/5/8/10/20/40

b.) list the factors of 40 that represent the number of cans that could be on each shelf.

5

c.) how many different arrangements of cans are possible?

just one because if you put more on one shelf you will go way over 40 and the cabinet will probably break.

d.) what are the possible arrangements of the cans?

put 5 cans on each self to reach 40 cans in total.

e.) which arrangement uses all the shelves?

5 because you can put 5 cans on each shelf, and since there are 8 shelfs you are equally going to get 40 cans.