Find the volume of the triangular prism.
3cm
10cm
7cm

volume of the triangular prism =  105cm³

Step-by-step explanation:

to find the volume of a triangular prism , given the three sides to be 3cm, 10cm, 7cm,

so, recall the formulae for calculating the volume of a triangular prisim

volume of the triangular prism =  1/2 x a x b x c

volume of the triangular prism =  1/2 x 3cm x 10cm x 7cm

volume of the triangular prism =  3cm x 5cm x 7cm

volume of the triangular prism =  105cm³

therefore the volume of the trangular prism is evaluated to be equals to 105cm³

898.1666667

step-by-step explanation:

5389/6 = 898.1666667

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