Pythagorean Theorem 3D Shapes and Coordinate Plane

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

What is the approximate length of the blue line?

• 6.56

• 23

• 45

• 3.32

What is the approximate width of the base?

• 7 ft

• 5 ft

• 3 ft

• 2 ft

An Egyptian pyramid has a square base that measures 80 meters on each side. If the height of the pyramid is 30 meters, what is the slant height of the pyramid?

• 26 meters

• 50 meters

• 74 meters

• 85 meters

The square base of the pyramid has an area of 144 square feet. If the slant height of the pyramid is 10 feet, what is the height of the pyramid?

• 7 feet

• 8 feet

• 16 feet

• 144 feet

Find the distance between J and K.

• 8.2

• 7.7

• 9

• 10.2

Find the distance between points A and B.

• 5

• 6

• 10

• 14

Find the distance.

• 9.7

• 10.7

• 11.7

• 12.7

Find the distance between points A and B.

• 4.1

• 5.1