Pythagorean Theorem in 3-d

1a)  Find the length of  $\overline{PR}.$  
Be sure to save your scratch work for the next problem! 

• 17 mm

• 13 mm

• 10.3 mm

• 15 mm

Tags

CCSS.8.G.B.7

1b) Using the length of  $\overline{PR}$  from the previous problem, find the diagonal of the prism ( $\overline{RT}$ ). Round to the nearest TENTH.

Tags

CCSS.8.G.B.7

2a)  Find the length of  $\overline{BD}.$  Round to the nearest TENTH.
Be sure to save your scratch work for the next problem! 

• 8.9 m

• 9 m

• 80 m

• 5 m

Tags

CCSS.8.G.B.7

2b) Using the length of  $\overline{BD}$  from the previous problem, find the diagonal of the prism ( $\overline{FD}$ ). Round to the nearest TENTH.

Tags

CCSS.8.G.B.7

A box of spaghetti is shaped like the rectangular prism pictured. What is the length of the longest piece of spaghetti that will fit in the box? Round all final lengths to the nearest TENTH.

• 20 cm

• 20.9 cm

• 21.1 cm

• 22.4 cm

Tags

CCSS.8.G.B.8

Find the length of  $\overline{AF}$  (the diagonal of the prism).  Round to the nearest TENTH.

Tags

CCSS.8.G.B.7