Question

The figure below shows two similar right triangular prisms.
What is the volume of Prism B rounded to the nearest hundredth cubic unit?

Answer 1

@phi

Answer 2

@Agent_Sniffles @amistre64 @jim_thompson5910 @Hero

Answer 3

two similar right triangular prisms.

SIMILAR means that the ratio of their sides are the same number

for example, look at the shortest side of the big prism and divide it by the length of the shortest side in the smaller prism

what do you get?

Answer 4

.56

Answer 5

or 1.8... idk which

Answer 6

I meant 9/6 = 3/2 or 1.5

now look at the other leg: the longer side of the big prism is 10.5
divide this by the corresponding side of the other prism
what do you get?

Answer 7

ohhh okay

Answer 8

1.5

Answer 9

now what do you think the (unknown) height (call it h) divided by 5 is ?
h/5 = 1.5 (the same ratio)
now find h

Answer 10

7.5?

Answer 11

yes. why the ? Is your calculator broken?

But now you can find the volume of the big prism
volume of Prism B is the area of its base (it's a triangle) times its height (just found to be 7.5)

can you find the area of the base?
then multiply by the height 7.5 to get the volume

Answer 12

how do i find the area of the base?

Answer 13

didn't you just do the area of a triangle in the last question?

Answer 14

is it b*h/2? My lesson isn't very clear on what's what....

Answer 15

yes base times height divided by 2

base is one of the legs, the height (or altitude) is the line perpendicular to the base . The height makes a 90 angle with the base. In your picture, that little square in the corner of the 2 legs means 90 deg

so your base and height are the 2 legs in the triangle.

Answer 16

the base is 47.25 then. Right?

Answer 17

Examples