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Worksheets

Solid of Rotation

Total questions: 20

Worksheet time: 20mins

Name
Class
Date
1.

What 3-D solid is formed when this rectangle is rotated about the vertical line?

a)

Right, rectangular prism

b)

Right, circular cylinder

c)

Right, oval cylinder

d)

Right, square prism

2.

Select the 2D object that can be rotated to form the 3D object shown.

a)

A) Circle

b)

B) Square

c)

C) Triangle

d)

D) Rectangle

3.

Describe the cross section.

a)

circle

b)

oval

c)

semi-circle

d)

trapezoid

4.

Describe the cross section.

a)

triangle

b)

rectangle

c)

oval

d)

trapezoid

5.

What shape will the horizontal cross-section of a sphere be?

a)

Dome

b)

Circle

c)

Ellipse

d)

Rectangle

6.

Which 2-D shape could be revolved about the vertical line to create the 3-D solid?

a)
b)
c)
d)
7.

V = ?

a)

1,077.02 yd3

b)

269.392 yd3

c)

153.86 yd3

8.

Which solid results from rotating the triangle using the axis of rotation shown?

a)

cone

b)

hexagonal pyramid

c)

triangular pyramid

d)

triangular prism

9.

What is the name of this figure?

a)

sphere

b)

cone

c)

cylinder

d)

can

10.

Find the volume of the solid shown in the figure?

a)

7230

b)

6621

c)

1130

d)

907

11.

Identify the resulting 2D cross-section from the sliced 3D figure.

a)

circle

b)

rectangle

c)

square

d)

triangle

12.

Match the two dimensional shaded region below to the solid formed by rotating the region about the bold axis. (Note: figures not necessarily drawn to scale.)

a)

A

b)

B

c)

C

d)

D

13.

Match the solid below to the two-dimensional shaded region that, upon rotation about the bold axis, would produce the solid. (Note: figures not necessarily drawn to scale.)

a)

A

b)

B

c)

C

d)

D

14.

Match the solid below to the two dimensional shaded region that, upon rotation about the bold axis, would produce the solid. (Note: figures not necessarily drawn to scale.)

a)

A

b)

B

c)

C

d)

D

15.

Match the solid below to the two-dimensional shaded region that, upon rotation about the bold axis, would produce the solid. (Note: figures not necessarily drawn to scale.)

a)

A

b)

B

c)

C

d)

D

16.

Match the two-dimensional shaded region below to the solid formed by rotating the region about the bold axis. (Note: figures not necessary drawn to scale)

a)

A

b)

B

c)

C

d)

D

17.

A sphere is pictured below. Select the type of cross section formed when the figure is cut by a horizontal plane.

a)

circle

b)

triangle

c)

hexagon

d)

rectangle

18.

Select all cross sections that can be found in a cylinder

a)

Circle

b)

Rectangle

c)

Semi-Circle

d)

Triangle

19.

What shape will the horizontal cross-section of a cone be?

a)

Dome

b)

Circle

c)

Pyramid

d)

Triangle

20.

What is a Cylinder?

a)

Central part of a reciprocating engine or pump, and space in which a piston travels.

b)

Symmetrical three-dimensional shape, either solid or hollow, contained by six equal squares.

c)

A solid geometric figure with straight parallel sides and a circular, or oval, cross section.