Plz help below!⬇️⬇️⬇️⬇️⬇️⬇️⬇️⬇️⬇️⬇️

9514 1404 393

  3)  1,440

Step-by-step explanation:

The dimensions of the prism can be expressed in terms of the cube dimensions.

  1 2/6 inches = 8/6 inches = 8×(1/6 inch)

  5/6 inch = 5×(1/6 inch)

  6 inches = 36/6 inches = 36×(1/6 inch)

So, the volume of the prism in terms of small cubes is ...

  8×5×36 = 1,440 . . . small cubes

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

c

step-by-step explanation: