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5A Volume and Surface Area

The attic of a house has a triangular gable and

prismatic shape, with measurements as shown. Find

the volume of the attic.

A cylindrical drum for aviation gasoline has

measurements as shown. Find the volume of the

drum.

Cotton candy is being sold in a conical shape

with measurements as shown. Find the volume of

the cotton candy.

A basketball has a diameter of 25 cm. Find the

volume of air inside the ball.

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.

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.

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.

8

12

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

Surface Area 2LH 2WH 2LWVolume LWH

Pyramid

Cone

Volume (1/3) b h cubic measurement

Volume (1/3) p r2 h

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

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

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?

3

4

Cubic Volume Activity

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Surface Area Volume

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Volume? Surface Area?

Volume? Surface Area?

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?

ElabCyl Volume

Elab Volumes

3D Boxes

Lathe (creating 3D objects)

Walls

Guess the view

Nelly House

HeightNos (JP)

RotateCubical (JP)

Colouring sides 1 Colouring sides 2 (JP)