# Geometric Solids

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## Geometric Solids Answer Key

1.

Name all of the faces of the cube.

- Squares:

ABCD, BCFG, EFGH, ADEH, CDEF, ABGH

2.

Identify the polygons that make-up the triangular prism shown. How many of each polygon make up the figure?

- Triangle - 2

Rectangles - 3 or 2 rectangles and 1 square

3.

What shapes combine to create a cylinder?

- 2 circles and a rectangle

4.

Use the solid figure shown to answer the following:

How many faces does the figure have? 5

How many corners does the figure have? 6

How many edges does the figure have? 9

How many faces does the figure have? 5

How many corners does the figure have? 6

How many edges does the figure have? 9

5.

Use the solid figure shown to answer the following:

How many faces does the figure have? 6

How many corners does the figure have? 8

How many edges does the figure have? 12

How many faces does the figure have? 6

How many corners does the figure have? 8

How many edges does the figure have? 12

6.

The prism shown has the following measurements:

BC = 8 cm

DE = 15 cm

FE = 10 cm

What is the volume of the prism?

BC = 8 cm

DE = 15 cm

FE = 10 cm

What is the volume of the prism?

- [math]1200 cm^3[/math]

7.

The cylinder shown has a height of 12 inches and a radius of 9 inches. If a second cylinder with a height of 4 inches is similar to the one shown, what is the radius of the second cylinder?

- 3 inches

8.

The area of CDEF on the regular square prism shown is [math]30 cm^2[/math]. The area of ABCD is [math]25 cm^2[/math]. What is the total surface area of the figure?

- [math]170 cm^2[/math]

9.

What is the volume of the cube if the length of BC is 5 cm?

- [math]125 cm^3[/math]

10.

Given the figure shown is a cube and CF measures 10 cm:

What is the area of CDEF? 100 cm^2

What is the total surface area of the cube? 600 cm^2

What is the area of CDEF? 100 cm^2

What is the total surface area of the cube? 600 cm^2

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