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

C Find The Surface Area Of Figure Write Your Complete Solution And Encircle The Final Answer 10pts class=

Sagot :

[tex]\huge\bold\red{ANSWER}[/tex]

SURFACE AREA

[tex]____________________[/tex]

1.) Rectangular Prism

Surface Area of a Rectangular Prism is SA = 2× [(L × W+ H +W ×H)].

To get the Surface Area of the Rectangular Prism :

  • First, multiply the length and the width and multiply the result by 2, since there are two equal lateral faces in the Rectangular Prism.
  • Then, get the product of the length and height and multiply the result by 2.
  • Third, multiply the width and the height and multiply the result by 2.
  • Lastly, add all the area to get the Surface Area of the RECTANGULAR PRISM.

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

= 222 inches²

✒️ The total Surface area of the Rectangular Prism is 222 inches².

2.) CYLINDER

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

= 602.88 inches² + 2 (3.14) (1.5)²

= 617.01 inches²

✒️ Therefore, the total Surface Area of the cylinder is 602.01 inches² .