Pythagorean Theorem in 3D

How can the Pythagorean Theorem be applied to find the distance between two points in 3D space?

• By calculating the diagonal of a rectangular prism formed by the points

• Using it directly as in 2D space

• Applying it to each axis separately

• It cannot be applied in 3D space

What is the approximate length of AF?

• 7

• 2.645

• 3.316

• 11

Find the length of the space diagonal. Round your answer to the nearest hundredth.

Mathematical Equivalence

ON

Solve for d.

• 18

• 17

• 12.8

• 19.7

Find the length of CE in the shape pictured below, giving your answer to 2 significant figures.

(a)  

Solve for AG

• 15

• 9.1

• 8.6

• 7.6

Solve for the distance of PQ

• 12.4

• 19

• 5

• 13

Solve for C.

• 18

• 17

• 23

• 6

Find the length of the space diagonal. Round your answer to the nearest hundredth.

Mathematical Equivalence

OFF

A juice box manufacturer wants to design a straw that cannot accidentally get stuck in the box.

If the length of the straw is an integer value (whole number), what is the smallest possible length of the straw?

Mathematical Equivalence

ON