IB Math Studies 3D Geometry

The cuboid ABCDEFGH is shown in the diagram. AB = 5 cm, BC = 4 cm and AE = 10 cm. Calculate the length of AH.

• none of those

• $\sqrt{125}\ cm$

• $\sqrt{116\ }\ cm$

• 14 cm

The cuboid ABCDEFGH is shown in the diagram. AB = 5 cm, BC = 4 cm and AE = 10 cm. Calculate the angle AG makes with the face ADHE.

• none of those

• 25.9 $\degree$  

• 27.7 $\degree$  

• 62.3 $\degree$  

The diagram shows a rectangular-based right pyramid ABCDE. The height of the pyramid is 8 cm. The base is 5 cm long and 4 cm wide. Calculate the length of AC.

• none of those

• 6 cm

• $\sqrt{41}\ cm$

• $\sqrt{80\ }\ cm$

The diagram shows a rectangular-based right pyramid ABCDE. The height of the pyramid is 8 cm. The base is 5 cm long and 4 cm wide. Calculate the length of EC.

• 9.43 cm

• 10.2 cm

• none of those

• 8.62 cm

The diagram shows a rectangular-based right pyramid ABCDE. The height of the pyramid is 8 cm. The base is 5 cm long and 4 cm wide. Calculate the angle AEC.

• 43.6 $\degree$  

• 136.4 $\degree$  

• none of those

• 88.2 $\degree$  

The diagram shows a square-based right pyramid ABCDE. The height of the pyramid is 9 cm. Each edge of the base is 6 cm. Calculate the surface area of the pyramid.

• none of those

• 150  $cm^3$  

• 114  $cm^3$  

• 36  $cm^3$  

• 7 ft
• 5 ft
• 3 ft
• 2 ft

Which of the following is the only food that never spoils?

• Honey

• Mayonnaise

• Ice Cream

• Orange Juice

Which country invented the fortune cookie?

• China

• Japan

• United States

• England

Continue the sequence

• Picture 1

• Picture 2

• Picture 3

• Picture 4

• None