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Standard Level

3.04 Two points in 3D

Worksheet
Distance and midpoint
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
Applications
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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