C. Find the surface area of figure. Write your complete solution and encircle the final answer. (10pts.)

[tex]\huge\bold\red{ANSWER}[/tex]
[tex]____________________[/tex]
Surface Area of a Rectangular Prism is SA = 2× [(L × W+ L×H +W ×H)].
FORMULA : SA = 2[(L × W+ L×H +W ×H)].
= 2× [(15 inch × 12 inch+ 15 inch × 6 inch + 12 inch× 6 inch)]
= 2 × 30 inch² + 90 inch² + 72 inch²
✒️ The total Surface area of the Rectangular Prism is 222 inches².
Step 1 : Find the lateral area of the cylinder.
L.A= 2π rh
= 2 (3.14) (8 inch) (12 inch)
= 602.88 inches ²
Step 2: Find the surface Area
SA = L.A + 2B
= L.A + 2 π r²
= 602.88 inches² + 2 (3.14) (1.5)²
= 617.01 inches²
✒️ Therefore, the total Surface Area of the cylinder is 602.01 inches² .