SURFACE AREA OF SOLIDS

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SURFACE AREA OF SOLIDS

• By SAMUEL M. GIER

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WHATS A SPACE FIGURE?
-any figure that is three dimensional is a
space figure.
NOTE All solids are three-dimensional
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THE COMMON SOLIDS
A. POLYHEDRON

• A. PRISM
• SQUARE PRISM
• RECTANGULAR PRISM
• TRIANGULAR PRISM
• CUBE

• B. PYRAMIDS
• SQUARE PYRAMIDS
• TRIANGULAR PYRAMIDS
• RECTANGULAR PYRAMIDS

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COMMON SOLIDS

• CYLINDERS

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COMMON SOLIDS
REFLECTIVE TRAFFIC CONE
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COMMON SOLIDS

• SPHERES

THE EARTH
BALLS
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SURFACE AREA OF SOLIDS
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SURFACE AREA or total area

• The sum of the areas of the outer surfaces(
  FACES) of a solid.
• Every solid figure has a surface area.

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SURFACE AREA OF PRISMS
The faces of a prism which are not its bases are
called LATERAL FACES.
-is a polyhedron whose bases are congruent and
parallel polygons.
Base
Lateral face
Base
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SURFACE AREA OF A CUBE
The faces of a CUBE are SQUARES and are equal to
its BASES.
To find the surface area of a CUBE, multiply the
SQUARE of the length of a side by 6.
The surface area of a CUBE with side s SA 6s².
Note There are 6 faces of a cube. 2 bases and 4
lateral Faces.
Base
Lateral face
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EXAMPLE 1
Find the surface area of a cube, the lateral
faces of which are bounded by a length of 5 cm.
Solution SA 6s². 6(5cm) ² 6(25
cm²) SA 150 cm²
5 cm
5 cm
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EXAMPLE 2
Solution SA 6s². 6(10cm) ²
6(100 cm²) SA 600 cm²
Find the surface area of a cube, the lateral
faces of which are bounded by a length of 10 cm.
10 cm
10 cm
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SURFACE AREA OF A SQUARE PRISM
To find the surface area of a SQUARE PRISM, add
the area of the bases and the areas of its
lateral faces.
The Lateral faces of a SQUARE PRISM are
RECTANGLES. The bases are SQUARES.
Base
Lateral face
Note There are 6 faces of a square prism. 2
bases and 4 lateral Faces.
Height (h)
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SURFACE AREA OF A SQUARE PRISM
The surface area of a SQUARE PRISM with BASE side
s and HEIGHT h, SA 2s² 4
sh.
Base
Lateral face
Note A square prism has 2 bases and 4
lateral Faces.
h
Height (h)
s
s
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FIND THE SURFACE AREA OF A SQUARE PRISM SHOWN
BELOW.
Given s 3 cm, h 8 cm
Solution SA 2s² 4 sh SA 2(3 cm)² 4
(3cm)(8 cm) SA 2(9 cm²) 4 (24 cm²) SA 18
cm² 96 cm² SA 114 cm²
8 cm
3 cm
3 cm
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FIND THE SURFACE AREA OF A SQUARE PRISM SHOWN
BELOW.
Given s 2 cm, h 6 cm
Solution SA 2s² 4 sh SA 2(2 cm)² 4
(2cm)(6 cm) SA 2(4 cm²) 4 (12 cm²) SA 8 cm²
48 cm² SA 56 cm²
6 cm
2 cm
2 cm
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Find the surface area of the following solids.

• 1. a cube with s 2.2 cm.
• 2. a square prism with s 12 cm and h 14 cm.

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ASSIGNMENTS

• Which among the solids has only one vertex?
• Which among the solids has congruent
• circular bases?
• 3.Which among the solids are bounded
• by a regular polygon?