Question

how to get the T.A. (Total Area) of this prism:
https://media.glynlyon.com/g_geo_2012/8/groupi68.gif

Answer 1

@jim_thompson5910

Answer 2

first you need to find the area of triangle

Answer 3

use

A = b*h/2

Answer 4

tell me what you get

Answer 5

what triangle?

Answer 6

on the prism

Answer 7

do you see the 2 triangles?

Answer 8

the top and bottom ones?

Answer 9

yes the ones that look like this

Answer 10

okay

Answer 11

hold up

Answer 12

ok

Answer 13

is it 1/4 sqr 6??

Answer 14

one triangle has an area of

A = b*h/2

A = 6*4/2

A = 12

Answer 15

so the two triangles have a combined area of 2*12 = 24

Answer 16

the lateral faces are

4 x 8 ---> area 4*8 = 32

6 x 8 ---> area 6*8 = 48

2*sqrt(13) x 8 ----> 2*sqrt(13)*8 = 57.6888

Answer 17

So the lateral surface area is

32+48+57.6888 = 137.6888

Answer 18

okay, and what's next?

Answer 19

add this to the base area to get the total area

Answer 20

24+137.6888 = 161.6888

Answer 21

okay thanks!

Answer 22

yw