Answer:
the surface area of the figure is 622 m ^2
the volume of the figure is 494 m ^3
Step-by-step explanation:
-you find the surface area for the rectangular prism and the triangular prism and add both answers.
- Rectangular prism S.A : 382 ^ 2 382m ^2 + 240m ^2 = 622 m ^2
- triangular Prism S.A : 240 ^ 2
-same thing with the volume,find the volume of the rectangular prism and the triangular prism and add those answers to find the total volume of your figure.
- Rectangular Prism Volume : 380 m^3 380 m ^3 + 114 m ^3 = 494 m ^3
- Triangular Prism Volume : 114 m ^3
formula for volume of a rectangular prism : V = w * l * h
formula for volume of a triangular prism : V = A * h
formula for surface area of a triangular prism simplified :
find the area of your base [area of the triangle on your triangular prism and since you have 2 multiply by 2,formula for area of 2 bases: A= 2 (1/2 * b*h) ) ]
next step-
formula for a surface area of a rectangular prism : 2 (w*l + l*h + h*w )
a-area w- width l-length
h-height s.a -surface area
