Question

Which statement is true if the triangular prism and the triangular pyramid have the same base and height?



A.
The volume of the prism is one-third times the volume of the pyramid.

B.
The volume of the pyramid is 3 times the volume of the prism.

C.
The volume of the pyramid is one-third the volume of the prism.

D.
There is no relationship between the volumes of each shape.

Answer 1

@dan815

Answer 2

@jigglypuff314

Answer 3

for example a cone is the pyramid version of a cylinder
the volume of a cone is 1/3 the volume of a cylinder

Answer 4

?

Answer 5

C?

Answer 6

yes :) I believe that is the answer ^_^

Answer 7

okay. can you help with this? A triangular pyramid has the same base and height as a triangular prism. The volume of the prism is 66 cubic inches. What is the volume of the triangular pyramid?

Answer 8

you would use the idea that we just answered with :)
the volume of a pyramid is 1/3 the volume of the prism that has the same dimensions

Answer 9

66 / 3? or 66*0.33

Answer 10

66/3 would get you the more accurate answer
but both methods would get you the same answer ^_^

Answer 11

Here is a different one :0

Answer 12

What is the lateral surface area of the triangular pyramid? Use the net of the pyramid to find the lateral surface area.

Answer 13

this pyramid seems to be made of 4 of the exact same triangles
so all you have to do is find the area of 1 of the triangles the multiply that area by 4 to get the surface area of the entire thing :)

Answer 14

lol how do i find it on that one?

Answer 15

it has a base of 2 and a height of 1.7
the area of a triangle = (1/2)*(base)*(height)
http://prntscr.com/74hggq

Answer 16

so 1*1.7

Answer 17

yes :)

Answer 18

lol 1.7.. so 1.7*?

Answer 19

1.7*4? 1.7*3?

Answer 20

1.7*4 :)

Answer 21

thought so.. so 6.8

Answer 22

there you go! :)

Answer 23

What are the dimensions of the rectangular pyramid that is exactly one-third the volume of the rectangular prism?
A rectangular prism with 2 unit by 4 unit base, height 5 units, rectangular pyramid with same base and height, but not labeled.
A = units
B = units
C = units

Answer 24

*sings* same ideaaaaaa as beforeeee :3

volume of pyramid is 1/3 the volume of the prism when they have the same dimensions

*cough* when they have the same dimensions

Answer 25

lol ok

Answer 26

still lost :0 on this one

Answer 27

http://prntscr.com/74hl2x

Answer 28

A 5

B 4

C 2? or do i 1/3 it all

Answer 29

it's right ^_^

Answer 30

:D

Answer 31

last one.

Answer 32

What is the surface area of the rectangular pyramid? Use the net of the pyramid to find the surface area.



A.
29.2 yd2

B.
35.96 yd2

C.
19.82 yd2

D.
23.96 yd2

Answer 33

this one is a little more complicated, but all you have to do is take it step by step :)

first, what is the area of a triangle with a base of 6 and a height of 2.69 ?
http://prntscr.com/74ho2m

Answer 34

8.07

Answer 35

good! :)

then what is the area of a triangle with a base of 2 and a height of 3.91 ?
http://prntscr.com/74hokq

Answer 36

7,82

Answer 37

7.82

Answer 38

try again?
area of triangle = (1/2)*(base)*(height)

Answer 39

3.91

Answer 40

good good good! :)

then the area of the rectangle :P
I'm sure you can figure that one out by yourself ;)

Answer 41

TWONY ONE jk sorry i had to

Answer 42

:P
then add the (Area of the Rectangle) + 2*(Area of the first Triangle) + 2*(Area of the Second Triangle) = answer

Answer 43

31.5537

Answer 44

hmm try again? :)

12+(2*8.07)+(2*3.91)

Answer 45

35.96

Answer 46

thanks! i passed and only missed number 3