For #1 and 2, find the lateral area and surface area of each prism.

1. Lateral: 72 SA: 142

2. SA: 36  Lateral: 24

Step-by-step explanation:

1. perimeter of base times the height

2l+2w x h

2(5) + 2(7) x 7

24 x 3 = 72

Surface area: A=2(wl+hl+hw)=2·(7·5+3·5+3·7)=142

2. Surface Area

Using the formulas

A=2AB+(a+b+c)h

AB=s(s﹣a)(s﹣b)(s﹣c)

s=a+b+c

2

Solving forA

A=ah+bh+ch+1

2﹣a4+2(ab)2+2(ac)2﹣b4+2(bc)2﹣c4=5·2+4·2+3·2+1

2·﹣54+2·(5·4)2+2·(5·3)2﹣44+2·(4·3)2﹣34

=36

Lateral: A=(a+b+c)h=(5+4+3)·2=24

question 1 is 8, question 2 is 9, question 3 is 24

step-by-step explanation:

now, the numbers they give you at the top are the key. from there, you just have to plug and chug! let's try 1, 2, and 3!

key: a=3, b=5, c=6

1. a+5

remember, a=3, so we plug that in to get 3+5=8

2. 15-c

c=6, so we plug that in to get 15-6=9

3. 4b

b=6, so we plug it in to get 4*6=24

time to try the rest on your own! if you put the answers below in a comment, i'll check them for you!