Donald plays with his wood cubes and decides to make pyramids. He carries on with his pyramids and labels following the same pattern. After making p4, Donald realises that he only has 12 wood cubes left. How many more cubes will he need to make p5? Work out the number of cubes needed to make p10 - FIND PICTURE BELOW

Draw out or imagine the next set of pyramids. If P1 has 2 blocks on the bottom and P2 has 3 blocks, that means that if you follow the pattern, P4 will have 5 blocks on the bottom so just add 5 to the amount of blocks in P3. To make P5, just add 6 blocks onto the amount of blocks in P4 that you just made. Hope this helps, I am not very good at explaining. I don't know the answer to 'b' as I am struggling with it as well.

adefunkeadewole adefunkeadewole · Answer 2 · 2021-10-12T14:15:13+02:00

This question has to do with patterns. A Pattern in mathematics can be defined as the sequence or arrangement in which numbers follow each other.

a) He will need 9 more cubes to make Pyramid 5

b) The number of cubes he needs to make Pyramid 10(P10) is 66 cubes

The number of cubes required to form the pyramids in the above question, follow a particular pattern.

For P1(Pyramid 1) : 1 cube + 2 cubes = 3 cubes

For P2(Pyramid 2) : 1 cube + 2 cubes + 3 cubes = 6 cubes

For P3(Pyramid 3) : 1 cube + 2 cubes +3 cubes

+ 4 cubes = 10 cubes

a) Donald has only 12 wood cubes left after making P4

The number of cubes he needs to make P5 originally following the above pattern:

1 cube + 2 cubes +3 cubes + 4 cubes + 5 cubes + 6 cubes = 21 cubes

Hence, the pattern of the number of wooden cubes he will need more to make P5(Pyramid 5) is calculated as:

21 wood cubes - 12 wood cubes

= 9 wood cubes

Therefore, he would need 9 more wood cubes to make P5.

b) Following the above pattern, the number of wood cubes needed to make P10(Pyramid 10) is calculated as:

1 cube + 2 cubes +3 cubes + 4 cubes + 5 cubes + 6 cubes + 7 cubes + 8 cubes + 9 cubes + 10 cubes + 11 cubes

= 66 wood cubes

Therefore, the number of cubes needed to make P10 is 66 wood cubes.

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