3D Pythagorean

What is the length of the diagonal d, of the cube shown below? Round your answer to the nearest tenth.

• 110.5

• 87.9

• 175.3

• 103.9

What is the length of the diagonal, ddd, of the rectangular prism shown below?Round your answer to the nearest tenth.

• 11.1

• 9.6

• 5.7

• 17.8

What is the approximate length of the red line?

• 18

• 30

• 5.478

• 6.16

The following box is being used to ship a glass rod. Given the dimensions of the box, what is the length of the longest rod that can be shipped using this box?

• 14.79cm

• 14.97cm

• 14.97in

• 14.97mm

Mrs. Williams classroom has the following dimensions. The length of her classroom is 32ft., the width is 24ft., and the height is 15ft. What is the length of the longest pole that she can fit inside of her class?

• 47.2ft

• 42.7ft

• 42.2ft

• 27.24ft

What is the distance from the base of the house to the base of the ladder?

• 25 m

• 5 m 

• 313 m 

• 17.7 m

What is the length of the missing side?

• x = 4

• x = 8

• x = 10

• x = 16

if a = 3 feet,  b = 8 feet,  and c = 6 feet, what is the length of d rounded to the nearest hundredth of a foot?

• 8.54 feet

• 10.44 feet

• 10 feet

• 4.12 feet

_{^{Find the missing side}}

• 48

• 108

• 83.6

• 72

_{^{Find the missing side}}

• 9

• 41

• 6.4

• 3