Question

Please help ASAP.. did I get it right or no ?? I put 96 if anybody can help please do

Answer 1

Hi! I'm happy to help!

Our net is composed of three shapes. Two congruent circles, and one rectangle. Our rectangle is 12cm by 2cm. Multiplied together, our rectangle has an area of 24cm².

We have our circle equation: A=$\pi$r². It said to use 3 for pi, so our equation can be A=3(r²)

Radius is always half the length of our diameter. Our diameter is 4cm, so our radius will be 2cm.

Now, let's insert our values:

A=3(2²)

Now, let's solve:

A=3(4)

A=12

So, our area for one of the circles is 12cm². Since our circles are congruent, they will have the same area. Now, we have all 3 areas of all the shapes.

24+12+12=48cm²

Now, we need to name the figure. This is a net of a 3 dimensional shape. Since the net has circles on opposite sides, the rectangle must wrap around the circumference of both circles. This means that the 12cm must be equivalent to the circumference of the circle. Our circumference is 2$\pi$r, or 2(3)(2), which is 12. So, with congruent circles on top and bottom, and a rectangle wrapping around, this seems to be a cylinder.

So, our Total Surface Area is 48cm², and the figure is a cylinder.

I hope this was helpful, keep learning! :D