The figure is the net for a rectangular prism. What is the surface area of the rectangular prism represented by the net?

please help
TωT

544 cm^2

Step-by-step explanation:

You can see that the figure is made of 6 different rectangles, which would become the sides of the prism if it was 3D.

The top rectangle has a length of 16 cm and a width of 8 cm. 16 x 8 = 128 so this side has an area of 128 square cm

The one directly below that has the same length (16 cm) and a width of 6 cm. 16 x 6 = 96 so its area is 96 square cm

On either side of the previous one there is a 6 by 8 rectangle. 6 x 8 = 48. Remember, there are two sides with an area of 48 cm^2

Below that we have another 16 by 8 rectangle and then another 16 by 6 rectangle.

So your total surface area would be 128 + 96 + 48 +48 + 128 + 96

or 544 square cm

∠1≅∠2 by the alternate exterior angles theorem.

step-by-step explanation:

given, a ∥ b and ∠1 ≅ ∠3 .we have to prove that e ∥ f

we know that ∠1≅∠3 and that a || b because they are given. we see that by the alternate exterior angles theorem. therefore, ∠2≅∠3 by the transitive property. so, we can conclude that e || f by the converse alternate exterior angles theorem.

we have to fill the missing statement.

transitivity property states that if a = b and b = c, then a = c.

now, given ∠1≅∠3 and by transitivity property ∠2≅∠3 .

hence, to apply transitivity property one angle must be common which is not in result after applying this property which is ∠1.

the only options in which ∠1 is present are ∠1 and ∠2, ∠1 and ∠4

∠1 and ∠4 is not possible ∵ after applying transitivity we didn't get ∠4.

hence, the missing statement is ∠1≅∠2.

so, ∠1≅∠2 by the alternate exterior angles theorem.

4

step-by-step explanation:

6 (donuts) divided by 3 is 2.

so 2/3 means 2 times 2, which is 4/6.

you get two and your friend gets four.