0
The easiest way to reason this is to consider how you could connect nine squares together while leaving the largest amount of perimeter exposed. In other words, what's the largest number of faces you can leave exposed on a set of squares that are all connected?
The answer is that if you connect all of the squares in a line, then the two end squares will have three faces exposed and the other seven squares will have two faces exposed. That gives you 2 * 7 * 2cm + 3 * 2 * 2cm = 28cm + 12cm = 40cm. So the maximum perimeter you can get is 40cm.
There are many other ways that you can arrange the squares to give you the same perimeter (eg. a plus sign, a zig-zag, and so on), but none that will give you more.
Still curious? Ask our experts.
Chat with our AI personalities
Vivi
Rene
BlakeAdd your answer:
Earn +20 pts
How do you measure perimeter of 6cm x 2 cm?
A 6cm X 2cm shape is a rectangle. Two sides are 6cm, and the other two are 2cm. Therefore, 6+6 + 2+2 = 16cm.
Show you 2 rectanglesthat have the same area and different perimeter?
A rectangle with sides of 1cm and 6cm has an area of 6 cm2 and a perimeter of 14 cm. A rectangle with sides of 2cm and 3cm has the same area but its perimeter is 10 cm.
How many different rectangles can you draw with a perimeter of 16 cm?
It depends what units you use for each side ! A 1cm x 15cm rectangle has a perimeter of 16cm. So does a 2cm x 4cm one ! If you start using millimetres, there are many more possibilities !
What is the volume of a cube that has sides of length 2cm?
Oh, dude, it's like super easy! So, the volume of a cube is just the length of one side cubed. So, if each side is 2cm, you just do 2 x 2 x 2, which equals 8 cubic centimeters. Ta-da!
What is the surface area of a 2cm x 2cm x 2cm cube?
A cube has six square faces. This cubes faces are 2 x 2 ie 4cm2 so overall surface area is 24 cm2.
