5A Volume and Surface Area

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5A Volume and Surface Area
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The attic of a house has a triangular gable and
prismatic shape, with measurements as shown. Find
the volume of the attic.                        
  
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A cylindrical drum for aviation gasoline has
measurements as shown. Find the volume of the
drum.
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Cotton candy is being sold in a conical shape
with measurements as shown. Find the volume of
the cotton candy.
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A basketball has a diameter of 25 cm. Find the
volume of air inside the ball.
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The net shown represents a box with

• A square bottom measuring 4 cm on a side, and
  sides measuring 10 cm by 4 cm.
• A rectangular bottom measuring 10 cm by 4 cm, and
  sides measuring 10 cm by 10 cm.
• A rectangular bottom measuring 10 cm by 4 cm, and
  sides measuring 10 cm by 4 cm.
• A square bottom measuring 10 cm on a side, and
  sides measuring 10 cm by 4 cm.

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A cereal box has a bottom measuring 8 cm by 20
cm, and a height of 30 cm. Find the surface area
of the box.
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A soup can has a diameter of 8 cm and a height of
12 cm. Find the area of sheet metal required to
make the sides, top and bottom of the can.
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12
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Cube   
Rectangular Prism   
Volume a3 cubic measurement Surface Area 6a2
square measurement
         Volume a b c abc cubic
measurement Surface Area 2ab 2bc 2ac square
measurement
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Surface Area 2LH 2WH 2LWVolume LWH
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Pyramid
Cone
Volume (1/3) b h cubic measurement
Volume (1/3) p r2 h
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Cylinder
Sphere
Volume (4/3) p r3 cubic measurement
Volume p r2 h cubic measurement Surface
Area of just the Label 2 p r h square
measurement
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6x2x3
3 in.
2 in.
6 in.
Volume 6x2x3 36 in3
Surface Area frontbackleftrighttopbottom
Surface Area frontbackleftrighttopbottom
Surface Area frontbackleftrighttopbottom
18 18 6 6 12 12 72 in2
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You are building a triple-column tower out of one
inch cubes and will paint all outside faces (top,
bottom, sides). Each layer of the column is 3
cubes wide. Each cube has 1 inch square faces.

• Show explain your reasoning for each of the
  following
• How many one-inch square faces would you paint
  for a tower 10 cubes high?

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Cubic Volume Activity
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Surface Area Volume
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Volume? Surface Area?
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Volume? Surface Area?
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The larger cube on the right is formed by 27
smaller cubes. Suppose all of the faces of the
large cube are painted red and then the cube is
taken apart. How many faces does each small cube
have? How many of the small cubes would have no
faces painted red? How many would have one face
painted? How many would have two faces
painted? How many would have three faces
painted? How many would have four faces
painted? How many would have five faces
painted? How many would have six faces painted?
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ElabCyl Volume
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Elab Volumes
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3D Boxes
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Lathe (creating 3D objects)
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Walls
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Guess the view
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Nelly House
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HeightNos  (JP)
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RotateCubical (JP)
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Colouring sides 1 Colouring sides 2 (JP)