Question

A hexagonal pencil is a regular hexagonal prism, as shown below. A case edge of the pencil has a length of 4 mm. The pencil (without eraser) has a height of 170 mm. What is the area of the surface of the pencil that gets painted?

Answer 1

first figure out if its LA / SA

Answer 2

SA

Answer 3

why ? we're not painting bases right ?

Answer 4

look at the picture,
yellow color is painted oly on lateral edges.

Answer 5

wait it is LA

Answer 6

yellow color is not there on hexogonal bases

Answer 7

Yes !
so use LA formula

Answer 8

\[LA=2\pi rh\]

Answer 9

LA = ph

you need to use prism formula ok

Answer 10

i cant see drawings

Answer 11

oh ok

Answer 12

oh that sucks.
ok 2 pi r h is for cylinder.

here u need to use prism formula for LA

Answer 13

LA = ph

p = ?

Answer 14

p=(4*170)
p=680

Answer 15

no.

Answer 16

170mm is the height

Answer 17

p = 4*6 = 24

Answer 18

oh i see lol

Answer 19

cuz, its a hexogon, there will be 6 sides.

Answer 20

good, find LA next

Answer 21

LA=4080 mm^2

Answer 22

correct !