Pythagorean Theorem 3D

What is the length of the pencil in the cylinder if the height is 12 inches and the diameter of the base is 10 inches?

• 15.6 in.

• 6.6 in.

• 44 in.

• 16 in.

Find the length of the slant height for edge AV. (HINT:The altitude height of the pyramid is 12 meters.)

• 10.9

• 13

• 169

Find the missing variable. Show your work. Round to the nearest hundredths place.

• 22.96

• 22.00

• 524.41

• 28.60

Determine the height of the cylinder. Round to the nearest tenths place.

• 7.4

• 11.5

• 14.3

• 11.0

• 14.6

During a recent storm, a tree was blown over. The top of the tree landed 18 feet from the bottom of the tree.  

Which is the closest to the original height of the tree?

Nearest whole number

Mathematical Equivalence

ON

The diagram below shows a telephone pole supported by a guide wire. The telephone pole is 40 feet tall and the bottom of the guide wire is 12 feet from the base of the pole.  

How long is the guide wire?

Nearest tenth

Mathematical Equivalence

ON

Fill in the blanks to show how to solve the Pythagorean Theorem:

e

g

c

b

910

25

55

30

900

10

Find h (hint: it is NOT 60 ft!)

Mathematical Equivalence

ON

A swimming pool has the dimensions shown. Use x to represent the length of the diagonal that goes from the bottom corner to the top corner at the opposite end of the pool, as shown by the diagonal dotted line. What is the value of x? 

• 31.3

• 32.3

• 33.3

• 64

What is the approximate length of c?

• 3

• 1.732

• 1

• 2.449