Question

Find the volume of the pyramid
the answer is __/_sqrt_
https://media.glynlyon.com/g_geo_2012/8/groupi77.gif

Answer 1

do you need to know anything?

Answer 2

ok the the height is 4 and the base is 16

Answer 3

right

Answer 4

yea the base is a triangle

Answer 5

im not too sure how to find it out thought because i'm incredibly stupid when it comes to geometry

Answer 6

equilateral triangle with sides of 4

Answer 7

does the link not work??? thats the picture of what it looks like

Answer 8

erm i think it is 4 unless that is the slant height
the only lengths given is is 4 and theres like 5 lengths with a measure of 4

Answer 9

i post the link again maybe itll work

Answer 10

https://media.glynlyon.com/g_geo_2012/8/groupi77.gif

Answer 11

oh it doesnt give you the height then

Answer 12

yea so each side length is 4

Answer 13

i know that but i dont know where to go from there

Answer 14

omg lol im so lost lol this stuff is way to complex

Answer 15

>.>

Answer 16

v- lxwxh

Answer 17

this is part of a online course im taking as a summer school class so thats why i dont know anything and the lessons they give you sucks and doesnt explain anything

Answer 18

but how does that help me on a different shape because its a different formula

Answer 19

yea volume of a cube is length *width*height

Answer 20

yea cube is easy a traingle not so much

Answer 21

so its 16....right?

Answer 22

the lengths they give you for the base is 4 and 4
which would mean it would be 16

Answer 23

so drop an line to make it a right triangle

Answer 24

ok can u tell me what the height is now

Answer 25

the measure below the angle is 2 right

Answer 26

yes

Answer 27

so the height is 4 i think

Answer 28

dong the pytahg theorem 2sq=4sq
4/16 = 4

Answer 29

height is Sqrt of 12 >_>

Answer 30

area oh base =
4*sqrt12/2 = 2sqrt12

Answer 31

i thought it was asq+bsq=csq then u just divide it out lol

Answer 32

i hate math so much just for this reason so annoying

Answer 33

volume of pyramid = area of base * height/3 = 2sqrt12*sqrt12/3 = simply this

Answer 34

math is really easy

Answer 35

you are just overthinking everything

Answer 36

ok right so

Answer 37

would you multiple the 12 inside the swrt by each other?

Answer 38

yea

Answer 39

the answer is ___/_sqrt_

Answer 40

yes

Answer 41

Volume of a pyramid is given by
V = (1/3) x Height x Area of base

Let the side of basal equilateral triangle be 'a' and the height be 'h'.
Area of base = (√3a^2)/4
Hence, V = (1/3) x h x (√3a^2)/4 = (√3ha^2)/12.

If all the faces of the pyramid are equilateral triangles (i.e. tetrahedron) then
a^2 = h^2 + {(2/3)(√3a/2)}^2
a^2 = h^2 + (a/√3)^2
a^2 = h^2 + (a^2)/3
h^2 = a^2 - (a^2)/3 = (2/3)a^2
h = √(2/3)a

So, V = (√3a^2)/12 x √(2/3)a = (√2a^3)/12

Answer 42

we did something wrong then because that answer doesnt fit the thing

Answer 43

its ___divided by _then sqrt_

Answer 44

(√2*4^3)/12 = √128/12

Answer 45

that is your answer

Answer 46

doesnt fit

Answer 47

128 fills the 3 blanks

Answer 48

its divided by 1 blank then to the side its sqrt something

Answer 49

hey i will just giive u a brief explaination u shud be able to do it frmo there

Answer 50

STEPs
1)First find the area of the base(the triangle on the bottom) of the pyramid
2)Find the midpoint of the Triangle
3)Then find the height of the triangle with sides 4 and base = the length of the midpoint to the length of the corner of the triangle(i will show u a picture of this)
4)Now multiply the area of the base times the height found in step 3 and divide by 3