Cubes and Volumes in a 3D World
one block
missing
what is the volume of the
surrounding cuboid box?
some cm. cubes are
glued together and
then packed in a box
how many
blocks will
the whole
box hold?
how many
more blocks
to fill it up?
how many cubes
are missing from
the 4
×
4
×
4
cube?
how many red
cubes?
the outer shell
is all red
how many
cubes?
assume that it is
solid all the way
through
what would the volume
of this be?
[how many cubes
would there be?]
keep going….
how many
of each
colour?
how
many in
the next layer?
how many
orange
cubes could there be?
(i) if the cube is the
same on all sides
and the inside is
hollow?
(ii) if the cube is the
same on all sides and
the (not visible) inside is
all orange cubes?
what is the most red cubes there could be?
what are the volumes of these?
(1)
(2)
(3)
(4)
(5)
(6)
volumes (in cubes)?
can you work this out
in two different ways?
(1)
(2)
(3)
(4)
(5)
(6)
(7)
(8)
(9)
(10)
(11)
(12)
(a)
(b)
(c)
surface
areas?
how many cubes?
6
8
12
14
8
12
22
27
13
18
17
Dive into a world of cubes and volumes as you unravel puzzles, calculate missing blocks, and explore various scenarios involving cubes. Discover the concepts of volume, missing cubes, colors, and more in this engaging journey through three-dimensional space.
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Presentation Transcript
one block missing
some cm. cubes are glued together and then packed in a box what is the volume of the surrounding cuboid box?
how many blocks will the whole box hold? how many more blocks to fill it up?
how many cubes are missing from the 4 4 4 cube?
how many red cubes? the outer shell is all red
assume that it is solid all the way through how many cubes?
what would the volume of this be? [how many cubes would there be?] keep going .
how many of each colour? how many in the next layer?
how many orange cubes could there be? (i) if the cube is the same on all sides and the inside is hollow? (ii) if the cube is the same on all sides and the (not visible) inside is all orange cubes?
what are the volumes of these? (1) (2) (3) (4) (5) (6)
volumes (in cubes)? (7) (8) (b) (a) (9) (10) (11) (c) surface areas? (1) (2) (3) (12) (4) (5) (6) can you work this out in two different ways?
how many cubes? 8 6 12 8 12 14
22 27 13 18 17
