Download 3D Questions - Mr Barton Maths

3D Pythagoras and Basic Trigonometry
Name:
Class:
Date:
Mark
/5
1) Find the length of BD in the shape pictured below, giving your answer to 3 significant figures.
F
G
E
H
B
A
3 cm
D
5 cm
C
9 cm
2) Find the length of DE in the shape pictured below, giving your answer to 3 significant figures.
E
F
3 cm
B
A
4 cm
D
C
10 cm
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3) Find the vertical height, OE, of the pyramid pictured below (where O is the centre of the base ABCD).
Give your answer to 3 significant figures.
E
8 cm
8 cm
B
C
O
A
6 cm
6 cm
D
4) Calculate the angle between the line AG and the plane ABCD in the cuboid pictured below, giving
your answer to 1 decimal place.
F
G
E
H
B
A
5 cm
D
4 cm
C
5 cm
Copyright Mathster.com 2014. Licensed by Thornleigh Salesian College, Bolton
5) Calculate the angle between the face CDE and the base ABCD in the pyramid pictured below, giving
your answer to 1 decimal place.
E
10 cm
10 cm
B
C
6 cm
A
6 cm
D
Copyright Mathster.com 2014. Licensed by Thornleigh Salesian College, Bolton
Solutions for the assessment 3D Pythagoras and Basic Trigonometry
1) BD = 9.49 cm
2) DE = 11.2 cm
3) Height = 6.78 cm
4) Angle = 29.5°
5) Angle = 71.7°
Copyright Mathster.com 2014. Licensed by Thornleigh Salesian College, Bolton