Question

what's the slant height of this pyramid
whats the lateral area
total area
volume

Answer 1

https://media.glynlyon.com/a_matgeo_2011/7/groupi99.gif

Answer 2

@jim_thompson5910 can u help?

Answer 3

the base of the red dashed right triangle is 5 (since this is half of 10). The height of the red dashed triangle is 12.


Let's use these facts to find the hypotenuse of the red dashed triangle (which is the slant height).


a^2 + b^2 = c^2


5^2 + 12^2 = c^2


25 + 144 = c^2


169 = c^2


c^2 = 169


c = sqrt(169)


c = 13


So the slant height is 13 units

Answer 4

with me so far?

Answer 5

okay:) yes!!

Answer 6

alright now onto the surface area

Answer 7

the area of one lateral face is

A = (bh)/2

A = (10*13)/2

A = 130/2

A = 65

So the area of one lateral face is 65 square units


So the area of all four lateral faces is 65*4 = 260 square units

Answer 8

So the total lateral area is 260 square units

Answer 9

got it!

Answer 10

The area of the base is A = s^2 = 10^2 = 100


So add this to the lateral area: 260+100 = 360


Therefore the total surface area is 360 square units

Answer 11

k

Answer 12

Finally, let's find the volume

Answer 13

V = (Area of base*Height)/3


V = (100*12)/3


V = 1200/3


V = 400


So the volume is 400 cubic units

Answer 14

Hopefully that all makes sense

Answer 15

thank you soo much!!:D

Answer 16

you're welcome

Answer 17

glad I could help out again