No, it does not matter.

Take this rectangular prism for example (the proportions are probably strange, but you get the idea.)

v=area of base x height

v=50cm² x 4cm

v=200cm³

v=area of base x height

v=20cm² x 10cm

v=200cm³

As you can see the volume is the same.

v= area of base x height

v=12cm² x 5cm

v=60cm³

v= are of base x height

v= 15cm² x 4cm

v=60cm³

v= are of base x height

v=120cm² x 8cm

v=960cm³

v=are of base x height

v=48cm² x 20cm

v=960cm³

So, basically one centimeter cube would look like this:

And if you were to make one layer or a base out of the fifteen centimeter cubes used, it should look like this:

The area of the top of this one layer should be 15cm² so we will use that as our base.

Since the prism is made of 5 layers of those 15 centimeter cubes we will use that as our height.

v= area of base x height

v= 15cm² x 5cm

v=75cm³

Though worded differently it is basically asking for it's volume.

v= area of base x height

v= 1250cm² x 100cm

v= 125 000cm³

Here's a link to calculating volume.

And two videos explaining both rectangular prisms and cylinders:

Cylinder Volume and Volume Problems

v=π x r x r x h

v=(3.14 x 12 x 12) x 15

v= 452.16cm^2 x 15 cm

v= 6782.4 cm^3

6782.4/4= 1695.6cm^3

Assume that 1/4 of the cheese was cut.

Cylinder one:

r= d/2

r =10/2

r= 5m

v= π x r x r x h

v= (3.15 x 5 x 5) x 30

v= 78.5 m^2 x 30m

v= 2355m^3

Cylinder two:

r= d/2

r= 8/2

r=4

π x r x r

(3.14 x 4 x 4)

50.24 m^2

2335m^3/ 50.24m^2= 46.5 m

I pray that I made any sense.

Mrs.Anabelle M. Salonga a.k.a. Miss. Perfect has another perfect blog post! I liked the helpful videos, but next time use a ruler to make the prisms so that it looks more crisp.

ReplyDeleteGreat Job Anabelle. Your post was verl neat and organized. Each question is explained in great details. Also your links and video would relly help.

ReplyDeleteGreat job Anabelle. I liked that you drew your own pictures. I also liked how you used a different color for the answer. Your post looked very neat and organized. Great job and keep up the good work.

ReplyDelete