Question

Find the lateral area for the prism.

Answer 1

@surjithayer

Answer 2

I wonder which the base is, the rectangular or the triangular

depending on which the base is, then we'd know which are the lateral sides

Answer 3

I think I have half of the equation correct

Answer 4

because if we skip the triangles, we really only have 3 rectangles as sides

Answer 5

Oh, I see what you mean

Answer 6

The end product is suppose to fit into an equation such as this: \[?+?\sqrt{3}\]

Answer 7

one side is 6, one side is 4
both are sides in a right triangle, meaning the other side is NOT 6, but longer

Answer 8

sorry, disregard the "3" I put in the equation

Answer 9

wouldn't the base be 4 times the square root of 3?

Answer 10

hmm well if all they want is the lateral area, you don't need the base

Answer 11

and if the base is the triangle there at the bottom then is just adding 3 rectangles

Answer 12

Oh, sorry. I was thinking of total area

Answer 13

LA= ph

Answer 14

so looking at the triangle, it has a side of 4 and a side of 6, is a right triangle
so a = 4, b = 6 \(\bf c^2 = a^2 + b^2 \implies c = \sqrt{a^2 + b^2} \implies c = \sqrt{4^2 + 6^2} \)

Answer 15

\(\bf c = 4\sqrt{13}\)

so you have 1 rectangle of 4 x 8
and one of 8 x 6
and another rectangle of \(\ 8 \times 4\sqrt{13}\)

Answer 16

hmmm shoot

Answer 17

\(\bf c = 2\sqrt{13}\)

so you have 1 rectangle of 4 x 8
and one of 8 x 6
and another rectangle of \( \ 8 \times 2\sqrt{13}\)

Answer 18

hmm, something is not ... working well

Answer 19

ok, yes, I thought I had a typo,

Answer 20

I still don't understand how to calculate the LA by using the measurements of each of those though

Answer 21

do I calculate the perimeter of each individual one, add them, then multiply by 8??

Answer 22

well, the rectangles are the SIDES, or LATERALS, you get their Area, add them up, and that's the lateral area

Answer 23

ok, thank you! so I just need to calculate the area of the rectangles?:)

Answer 24

yes

Answer 25

alrighty! thank you!

Answer 26

yw