3D Pythagorean Pyramid

What is the approximate width of the base?

• 7 ft

• 5 ft

• 3 ft

• 2 ft

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

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

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

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 the volume of the pyramid. use pythagorean theorem to find the height of the triangular base. (22.1 is NOT it)

• 931 m³

• 1137.15 m³

• 1396.5 m³

• 758.1 m³

Find the volume of the pyramid shown.

Volume = _________ ft³

The cone has a height of 6 in and a slant height of 8 in. What's the volume of the cone?

Hint: use pythagorean theorem to find the radius