Susan likes to build blocks from small cube like that one shownin the following diagram .susan has lots of small cubes like this one she uses glue to join cubes together to make other blocks.Frist susan glue 8of the cube together to make a block as shown in diagram A.Then susan makes the block shown in diagram B and diagram C below
Answers
Given : Susan likes to build blocks from small cubes
Shown in fig
To Find : (a)How many small cubes will Susan need to make the block shown in Diagram B?
b) minimum number of cubes she needs to make a block that looks like
the one shown in Diagram C, but is hollow?
c) How many small cubes for a block that looks like a solid block that is 5 small cubes long, 4 small cubes wide and 3 small cubes high.
Solution:
small cubes Susan need to make the block shown in Diagram B
= 3 * 2 * 2
= 12 small cubes
minimum number of cubes she needs to make a block that looks like
the one shown in Diagram C
= 3 * 3 * 3
= 27 small cubes
if its hollow then cubes which can be removed = (3 -2)(3 - 2)(3 -2 ) = 1
Hence small cubes required = 27 - 1 = 26 for Hollow C
a solid block that is 5 small cubes long, 4 small cubes wide and 3 small cubes high.
small cubes required = 5 * 4 * 3 = 60
if hollow then cubes can be removed = (5 - 2)(4 - 2) (3 - 2) = 6
Hollow block will require 60 - 6 = 54 small cubes
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