Today’s task (08)

 TASK 08

Today’s task (08)

Susan likes to build blocks from small cubes like the one shown in the following diagram:

Susan has lots of small cubes like this one.  She uses glue to join cubes together to make other block.   First, Susan glues eight of the cubes together to make the block shown in Diagram A:

 

 

Diagram A

 

Then Susan makes the solid blocks shown in Diagram B and Diagram C below:

 

DIAGRAM B"                    Diagram C

 

QUESTION 1

How many small cubes will Susan need to make the block shown in Diagram B?

 Answer: ---------------------cubes.

QUESTION 2

How many small cubes will Susan need to make the solid block shown in Diagram C?

Answer: --------------------------cubes.

QUESTION 3
Susan realises that she used more small cubes than she really needed to make a block like the one shown in Diagram C.  She realises that she could have glued small cubes together to look like Diagram C, but the block could have been hollow on the inside
What is the minimum number of cubes she needs to make a block that looks like the one shown in		3
Diagram C, but is hollow?
Answer:	-----------cubes.

QUESTION 4

 

Now Susan wants to make a block that looks like a solid block that is 6 small cubes long, 5 small cubes wide and 4 small cubes high. She wants to use the smallest number of cubes possible, by leaving the largest possible hollow space inside the block.

 What is the minimum number of cubes Susan will need to make this block?

 

Answer:  ______________cubes.

SOLUTION:

QUESTION1 - ANSWER IS 12 CUBES ( 3 X 2 X 2 = 12)

QUESTION2 - ANSWER IS 27 CUBES ( 3 X 3 X 3 = 27

QUESTION3 - ANSWER IS 26 CUBES ( 27 - 1 HOLLOW = 26)

QUESTION4 - ANSWER IS 96 CUBES ( 6 X 5 X 4 = 120 - 24 HOLLOWS = 96)