Question

Which is the correct net of the prism and what is the surface area of the prism?

Answer 1

Im confused on what to do

Answer 2

Finding the surface area is pretty straightforward. Find the area of each of the separate areas that make up the whole surface area, and then add these sub-areas together.

Answer 3

okay

Answer 4

For example, the area of the base is 12 by 14 inches, or 168 square inches.

Answer 5

What is the area of the long, slanting top of this solid?

Answer 6

14 x 14 = 196

Answer 7

That area is 13 inches by 14 inches, not 14 by 14.

Answer 8

oh 182

Answer 9

what is the area of the only vertical side?

Answer 10

14?

Answer 11

Again you must mult. length by width. width is 5 inches; what is the length of the one vertical side?

Answer 12

im confused 12?

Answer 13

Look carefully . It's 14

Answer 14

14 inches.

Answer 15

What is the area of the vertical side if the height is 5 inches and the width 14 inches?

Answer 16

I said 14 but you said it was wrong

Answer 17

70

Answer 18

but you must multiply these numbers together. 5 inches times 14 inches is what?

Answer 19

Yes, it's 70 square inches.
Now please look at the triangular end of the solid. What's the height of this triangle? Whats the base of this triangle?

Answer 20

base is 5 and height is 12 so the area would be 60

Answer 21

Area of a triangle is (1/2)bh, where b is the base and h is the height.

Answer 22

oh right so its 30

Answer 23

Yes, and there are 2 triangular ends, so the total area of the triangles is ... ?

Answer 24

60 because 30 x 2 = 60

Answer 25

correct.
Then:
slant top: 182 sq in
bottom 168 sq. in
vert side 70 " "
ends: 60 ' "
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what next?

Answer 26

the square on the right side

Answer 27

We've already found all the sub-areas we need to find the total area.
Look primarily at the image of the 3-d solid in the upper, left hand corner.

Answer 28

add together all the areas we've just found.

Answer 29

480

Answer 30

480 what?

Answer 31

480 inches

Answer 32

Whar are we measuring here?

Answer 33

480 is correct; your unit of measurement is not.

Answer 34

square inches

Answer 35

We are measuring surface area. Yes, it's 480 square inches. Good.

Volume? Look at the 3-d picture again. Base is 168 square inches. Height is 5 inches. This is a prism. The volume would be (the area of one end) * (the length of the prism, from left to right (14 inches).

Answer 36

area of one end = 30 square inches
length of prism = 14 inches.
volume of prism?

Answer 37

420

Answer 38

Just multiply those together. units of measurement for volume?

Answer 39

420 Cubic Inch

Answer 40

cubic inches. Very good.
Done.

Answer 41

Not sure what you mean by "correct net." I assumed that you meant volume, but that could be wrong.

Answer 42

thank you!

Answer 43

my pleasure. looking forward to working with you again. unfortunately, I have to get off the 'net now.

Answer 44

bye Good night!!

Answer 45

same to you!~