Question

Todd built a block tower with 10 cubes that measured 1 centimeter on each side

Answer 1

80 blocks

Step-by-step explanation:

Todd's tower measures 1 cm by 1 cm by 10 cm. The total number of blocks in the tower is ten and the volume of each is

`1\text{ cm }*1\text{ cm}*1\text{ cm}=1\text{ cm}^3`

Now Aaron's block is twice as wide, twice as long, and twice as tall; therefore, its measurements are

wisth = 1 cm x 2 = 2 cm

length = 1 cm x 2 = 2 cm

height = 10 cm x 2 = 20 cm

Therefore, the volume of Aaron's block is

`2\text{ cm}*2\text{ cm}*20\text{ cm}=80\text{ cm}^3`

Now how many blocks fit into 80 cubic cm?

The volume of one block is 1 cubic centimetre, therefore, it takes

`\frac{80\text{ cm}^3}{1\text{ cm}^3}=80`

blocks to make Aaron's tower.