Find the volume of the triangular prism. Round to 1 decimal place

 =579.1 cm^3

Step-by-step explanation:

V = Bh

We need to find the area of the base

The base is the triangle

B = 1/2 bh

We can find the length of the bottom by using the Pythagorean theorem

a^2 + b^2 = c^2

9^2 + b^2 = 14^2

b^2 = 14^2 - 9^2

b^2 = 115

Taking the square root

b = sqrt(115)

B = 1/2 bh

   =1/2 sqrt(115) *9

B =48.25712383

V = Bh

V = 48.25712383 * 12

   =579.0854859

To the nearest tenth

   =579.1 cm^3

C

Step-by-step explanation:

3(5x + 3y) multiply 3 * 5x + 3* 3y which gives you 15x + 9y