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Find the lateral area and surface area of the solid. Round to the nearest tenth, if necessary.
L=
cm2;
S=
cm2
7.8 cm
9 cm
9 cm
12 cm
9 cm

Find the lateral area and surface area of the solid Round to the nearest tenth if necessary L cm2 S cm2 78 cm 9 cm 9 cm 12 cm 9 cm class=

Respuesta :

Answer:

  • L = 324 cm²
  • S =  394.2 cm²

Step-by-step explanation:

The lateral surface area is the combined area of the three rectangular faces of the prism

Each rectangular face has a base 12 cm and a height of 9 cm. So surface area of each of the rectangular areas is the same

Each rectangular face surface area = 12 x 9 = 108 cm²

Lateral surface area L = x 108 = 324 cm²

The top and bottom area are triangles each with an area = 1/2 base x height

Total area of triangular faces = 2 x 1/2 x base x height

= base x height

= 9 x 7.8

= 70.2 cm²

Total Surface Area S  = 324 + 70.2 = 394.2 cm²

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