tim and his brother are building towers out of blocks. Tim is using blue blocks that are 6 cm tall and his brother is using gree

Question

3 years ago

6

tim and his brother are building towers out of blocks. Tim is using blue blocks that are 6 cm tall and his brother is using gree

n blocks that are 8 cm tall. They both made towers the same height. What is the shortest possible height of the tower? how many of each color block did they use

Mathematics

1 answer:

Karolina [17] · Answer 1 · 2022-01-02T06:52:39+03:00

The shortest possible height of tower is 24 cm.

Tim used 4 blue blocks and his brother used 3 green blocks.

Step-by-step explanation:

Given,

Height of blue block = 6 cm

Height of green block = 8 cm

We will take least common multiple to find the shortest possible height.

6 = 2*3

8 = 2*2*2

LCM = 2*2*2*3 = 24 cm

The shortest possible height of tower is 24 cm.

Number of blue blocks used = $\frac{24}{6} = 4$

Number of green blocks used = $\frac{24}{8} = 3$

Tim used 4 blue blocks and his brother used 3 green blocks.

Keywords: LCM, multiplication

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