Which right triangular prism has the greatest volume?

So Prism D has the greatest volume.

Step-by-step explanation:

Since volume of a triangular prism = A × h

where A = Area of base of prism

h = height

For prism (A) ⇒ Volume = ( 6 × 7 ) × 9

                                     = 42 × 9 = 378m³

Prism (B) ⇒ Volume = ( 5 × 6 ) × 13

                                 = 30 × 13 = 390m³

Prism (C) ⇒ Volume = ( 11 × 8 ) × 8

                                 = 88 × 8 = 704m³

Prism (D) ⇒ Volume = ( 10 × 8 ) × 9

                                 = 80 × 9 = 720m³

So prism D has the maximum volume.

to find the perimeter of the rectangle this is the expression:

x-9+x-9+3x-4+3x-4=138

if we simplify it:

8x-26=138

remember, 138 is what it all adds up to

the length is 11.5cm

the width is 57.5cm

the area is 661.25cm^2

the answers might not be correct use at own risk

answer: i wpould go with c

step-by-step explanation: