Notes on 3D Pythagorean Theorem

What is the length of the diagonal on page 69, "Pythagorean Theorem in 3D"? Round to the nearest tenth if necessary.

• 9.8 in.

• 12.8 cm

• 10.8 in.

• 18.8 ft

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

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

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

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

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

• 7.4

• 11.5

• 14.3

• 11.0

• 14.6

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