Middle Years
3.02 Coordinate geometry in 3D
Worksheet
1
Find the distance between the following pairs of points. Round your answers to one decimal place where necessary.
a
(-2, 4, 9) and (5, 0, -1)
b
(1, 3, -2) and (4, -2, 0)
c
(-1, -2, 4) and (-6, 1, 3)
d
(0, 6, 10) and (-5, -2, -1)
2
Find the midpoint between the following pairs of points:
a
(-5, 0, 6) and (4, 3, -2)
b
(4, 3, -5) and (3, -7, 1)
c
(-6, 8, 0) and (-4, 6, 1)
d
(21, 20, 11) and (7, -3, 9)
3
For each of the following line segments, find:
i
The length to two decimal places.
ii
The midpoint.
a
b
c
4
Consider the cube shown:
a
Find the side length of the cube.
b
Find the surface area of the cube.
c
Find the volume of the cube.
5
Find the volume of the cube shown:
6
Find the surface area of the following regular tetrahedron. Round your answer to one decimal place.
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