Suppose you take the small prism and stack it on top of the larger prism. What will be the volume of the composite figure

You didn't provide a picture, but if your problem is like the one in my workbook, I might be able to help.

Find the volume of the first figure, then find the volume of the second figure, then add them together.

V=lwh

V(1)=(15)(12)(6)

= 1,080in^3

V(2)=(12)(6)(6)

= 432in^3

1,080+432= 1,512 in^3

Your answer should be 1,512

geometry: triangles

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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

80

step-by-step explanation: