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Worksheets

Geometry Modeling

Total questions: 21

Worksheet time: 48mins

Name
Class
Date
1.

What figure can be formed by a vertical slice perpendicular to the base of the cube.

a)

rhombus

b)

square

c)

trapezoid

d)

triangle

2.

What figure is formed by a slice through the sphere.

a)

triangle

b)

circle

c)

square

d)

oval

3.

What figure can be formed by a vertical slice perpendicular to the bases of the cylinder?

a)

circle

b)

triangle

c)

rectangle

d)

oval

4.

Which two dimensional figure is formed when a right rectangular prism is cut in half by a plane that is perpendicular to the pyramid's base?

a)
b)
c)
d)
5.

Which two-dimensional figures is formed when the given pyramid is cut with a plane parallel to the base?

a)

quadrilateral with only one pair of parallel sides

b)

triangle

c)

pentagon

d)

square

6.

If the plane does not slice the base, which figures could be the result from slicing a cone with the plane?

a)

circle or ellipse

b)

triangle or a circle

c)

triangle or a parallelogram

d)

ellipse or a parallelogram

7.

A circular lollipop has a radius of 1.5 inches. What is the area of the lollipop to the nearest hundredth of a square inch?

a)

4.71 square inches

b)

7.07 square inches

c)

9.42 square inches

d)

28.26 square inches

8.

Which measurement is closest to the circumference of the compact disc? The compact disc has a diameter of 4.75 inches.

a)

17.71 inches

b)

7.89 inches

c)

7.46 inches

d)

14.92 inches

9.

Maria bought a swimming pool with a circumference of 24 feet. She wants to buy a cover for her pool. What is the approximate size of the cover that Maria will need to buy? Use 3.14 for π.

a)

7.64 square feet

b)

11.99 square feet

c)

45.82 square feet

d)

183.28 square feet

10.

The diameter of a circle is 0.82 inches. What is the approximate area of the circle?

a)

2.57 square inches

b)

2.11 square inches

c)

1.29 square inches

d)

0.53 square inches

11.

Joe made a model of a door out of a piece of cardboard. The amount of cardboard used for the square, bottom portion of the model is shown in the diagram below.

Approximately how much cardboard did he use in all to make the model?

a)

828 in2

b)

1092 in2

c)

1400 in2

d)

2016 in2

12.

Tom has a circular clock with a circumference of 39.88 inches. What is the radius of Tom's clock, to the nearest hundredth of an inch? pi = 3.14

A

a)

25.40 inches

b)

12.70 inches

c)

6.35 inches

d)

3.56 inches

13.

What is the total area that Phillip will be moving? Phillip has an 8 ft by 8 ft pond in his backyard.

a)

64 ft2

b)

106 ft2

c)

336 ft2

d)

400 ft2

14.

Cindy created a unique clock design for an art class assignment. She drew the figure below. Which measure best represents the area of the clock?

a)

108 in2

b)

138 in2

c)

216 in2

d)

780 in2

15.

What is the volume of this triangular prism?

a)

576 ft3

b)

288 ft3

c)

34 ft3

d)

29 ft3

16.

Find the volume of the wood base and post in inches:

a)

1 in3

b)

100 in3

c)

1152 in3

d)

1728 in3

17.

Compute the surface area of the balance beam.

a)

128 in2

b)

160 in2

c)

1536 in2

d)

1568 in2

18.

The object below is made of seven rectangular prisms, each with dimensions of 4 centimeters (cm) by 2 centimeters by 6 centimeters. What is the volume, in cubic centimeters, of the composite solid?

a)

48 cm3

b)

336 cm3

c)

432 cm3

d)

16464 cm3

19.

Kayla is going to tile a 6 foot by 9 foot rectangular section of her bathroom wall with square tiles that measure 3 inches tall and 3 inches wide. How many tiles will she need for her project?

a)

864

b)

108

c)

72

d)

24

20.

If one rectangular solid with dimensions of 6 × 6 ×10 millimeters is stacked on top of an identical

rectangular solid so that the bottom of the top box lines up perfectly with the top of the bottom box, what is the surface area of this new rectangular solid?

a)

312 mm2

b)

504 mm2

c)

624 mm2

d)

720 mm2

21.

A cylinder has a volume of 1200 meters cubed. What is the volume of a cone with the same radius and height?

a)

600 m3

b)

900 m3

c)

1600 m3

d)

400 m3