Composite Figures Volume + Surface Area

Volume of Composite Right Prisms

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Composite Figures and Surface Area

​Some text here about the topic of discussion.

​What is Volume?

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Volume is the amount of cubic units it takes to fill an object​

Multiple Select

The side lengths on a Cube are all equal to each other.

• True

• False

Multiple Choice

Find the volume. 

• $$73.8\ ft^3$$  

• $$19.7\ ft^3$$  

• $$147.6\ ft^3$$  

• $$147.6\ ft^2$$  

• $$19.7ft^2$$  

Multiple Choice

Find the volume of a cube with a side length of 11 in

• 21 inches cubed

• 33 inches cubed

• 1331 inches cubed

• 11 inches cubed

To Find Volume V=B*H

• Find the Base Area (Area of triangle)

• Find the Height of Prisms

• Then Multiply Base Area * Height of Prisms

Multiple Choice

What is the area of the shaded region?

• 4 cm²

• 16 cm²

• 8 cm²

• 12 cm²

Multiple Choice

Find the volume of the triangular prism

• 110cm cubed

• 30 cm cubed

• 132 cm cubed

• 66 cm cubed

Multiple Choice

Find the area of the compound shape.

• 102 square cm

• 110 square cm

• 124 square cm

• 112 square cm

Multiple Choice

Find the Volume

• $$150.5in^3$$

• $$7525\ in^2$$

• $$21.5in^3$$

• $$10.8\ in^3$$

What are Composite Figures?

• An object made up of MORE THAN 1 Shape!

• What shapes do you see in this image?

How to Find Volume of Composite Figures?

• Find a way to divide the figure into separate shapes.

• Find the volume of EACH shape.

• Add the VOLUMES TOGETHER to get the answer!

Surface Area of Composite Figures

Multiple Choice

FInd the Surface area of the shape below?

• 258 m²

• 268 m²

• 248 m²

• 278 m²

Multiple Select

Composite figures are objects that only have one shape. Like a rectangle for example.

• True

• False

Multiple Choice

How many square centimeters of wrapping paper are needed to cover the surfaces of the box?

• 108 cm²

• 324 cm²

• 180 cm²

• 432 cm²

Multiple Choice

What is the surface area of the pyramid?

• 24 cm ²

• 84 cm ²

• 112 cm ²

• 64 cm ²

Multiple Choice

What is the surface area of the triangular prism?

• 54 m²

• 336 m²

• 275 m²

• 180 m²

Composite Figures with Tri. Prisms.

• Find the volume of rec. prism

• Find the volume of tri. prism

• Add the volumes together to get answer!

• What is the volume of the rectangular prism.

• What is the volume of the triangular prism.

Multiple Choice

What shapes are in this figure?

• Rectangular Prism and Triangular Prism

• Square and Triangle

• Cube and Triangular Prism

Multiple Choice

Which equation can be used to find the volume of the composite figure?

• $$360\ \cdot\ 32\ =\ 392\ in^3$$

• $$225\ +\ 60\ =\ 285\ in^3$$

• $$\frac{1}{2}\cdot8\cdot4\cdot9\cdot5\cdot5=3600\ in^3$$

• $$225\ +\ 30\ =\ 255\ in^3$$

Multiple Choice

Once you have each shapes volume, what are you supposed to with them in order to get volume of the composite figure?

• Subtract them

• Divide them

• Multiply them

• Add them

Multiple Choice

Which equation could help to find the volume of this composite figure.

• $$100\ +\ 140\ =\ 240\ cm^3$$

• $$7\ +\ 2\ +\ 20\ +\ 10+\ 5\ =\ 44cm^3$$

• $$200\ +\ 140\ =\ 340\ cm^3$$

• $$7\ \cdot10\ \cdot\ 2\ \cdot\ 20\ \cdot\ 5\ =\ 14000cm^3$$