What is the volume in cubic feet of the prism, rounded to the nearest cubic foot? Do not use units or commas in your answer.

35.1

Step-by-step explanation:

There's a formula that i've linked as an image

Basically, substitute all 3 sides and the length into that formula, chuck it into the calculator and viola.

Or... we can use pythagoras' theorem and get the height of the triangle Height = - = 2.6

Area of triangle = (3 * 2.6) / 2 = 3.9

Volume = 3.9 * 9

Volume of prism = 35.1

geometry: triangles

solvers

lessons

answers archive

call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584

hi there!

the answer to this question is d: 35

step-by-step explanation:

5 to the power of 2 is 25

2 multiplied by 5 is 10

then you add the 2 numbers and you get 35