Question

@iambatman @AnswerMyQuestions @timeflybyegirl What is the surface area of this three-dimensional, symmetrical, capital letter “I” block? Show your work.

Answer 1

Same one?

Answer 2

http://assets.openstudy.com/updates/attachments/54a41938e4b0e4319f8f07cb-igreen-1420041410502-54a41938e4b0e4319f8f07cb_lilb_to_smooth_4_u_142004055880907_07c_38_001.jpg

Answer 3

same picture different question

Answer 4

Okay, well we have our three sections..

Small Rectangular Prism = 2 x 2 x 1

Larger Rectangular Prisms = 2 x 2 x 5 ea.

A=2(wl+hl+hw)

Plug in what we know for the smaller one:

A = 2[(2)(2) + (1)(2) + (1)(2)]

Can you multiply those and add them..?

Answer 5

24?

Answer 6

No..I got something else.. first simplify this:

\((2)(2) + (1)(2) + (1)(2)\)

Answer 7

8

Answer 8

@iGreen ???

Answer 9

Yes, now multiply that by 2.

Answer 10

16

Answer 11

Right, so the surface area of the smaller rectangular prism is 16.

Now let's find the area of one of the bigger rectangular prisms:

A = 2[(2)(2) + (5)(2) + (5)(2)]

Okay, first simplify \((2)(2) + (5)(2) + (5)(2)\), what do you get?

Answer 12

34?

Answer 13

No I got something else.

Answer 14

ok what?

Answer 15

Simplify \(\sf (2)(2)+(5)(2)+(5)(2)\) again..

Answer 16

24!

Answer 17

@iGreen

Answer 18

Yes, now multiply that by 2.

Answer 19

48

Answer 20

@iGreen