Question

What is the volume of the pyramid?

8,704 ft3
1,280 ft3
34,816 ft3
4,624 ft3

Answer 1

The volume of a Pyramid is

`V= (1)/(3) Bh`
Big B means you have to multiply the base first so 16*16
to find the hight you can use the Pythagorean theorem
the length of one of the sides is 16 so we have to divide that by 2 to get one of the legs for the Pythagorean theorem which is 8 and 17 is the hypotenuse.
Pug it in and it will look like this

`8^(2) + b^2 = 17^2`
square them to get

`64+b^2=289`
subtract 64 from both sides to get

`b^2=225`
then square root it to get the height

`h=15`
then plug that into your volume formula

`V= (1)/(3) 256*15`
Add it up to get a volume of 1,280. Hope this helps Good luck :)

Answer 2

1st you need to find the height then you can find the volume

see attached picture