Question

Tristan's fish tank is 1/2 yard long, 1/6 yard wide, and 1/3 yard high. (Note that the fish tank is in the shape of a rectangular prism and not a cube.) One way of finding the volume of the

tank is by dividing the tank into cubic blocks.

PART A
What should the side lengths of each cubic blocks used to find the volume be?
~Already got that answer~

PART B
What is the volume of each cubic block?
~Already got that answer~

PART C
How many cubic blocks are needed to kill the fish tank?

PART D
What is the total volume of the cubic blocks?

PART E
What is the volume of the fish tank? Use the formula V = I x W x H.

PART F
How do the volumes you calculated with the formula and with the cubic block method compare?

Answer 1

It's 1/6 yards

Explanation:

Because the length and height of the tank are multiples of the width, the length of each cubic block should be equal to the width of the tank: 1/6.

Answer 2

Tristan's fish tank is 1/2 yard long, 1/6 yard wide, and 1/3 yard high. (Note that the fish tank is in the shape of a rectangular prism and not a cube.) One way of finding the volume of the tank is by dividing the tank into cubic blocks. What should the side lengths of each cubic block used to find the volume be?

Answer:

the side lengths are 3 sides, 1 side and 2 sides of each cubic block.

Step-by-step explanation: |

v

The volume of the rectangular prism is:

(1/2 a yard)*(1/6 a yard)*(1/3 a yard)= 1/36 yard to the power of 3.

However: let's find their lowest common multiples to determine their side length.

Multiples of 2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, ...

Multiples of 6: 6, 12, 18, 24, 30, ...

Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, ...

The lowest common multiple for 2 , 6 and 3 is 6 .

Then in terms of the side length of each cubic block; we have :

1/2 × 6 = 3

1/6 × 6 = 1

1/3 × 6 = 2

So the side lengths are 3 sides, 1 side and 2 sides of each cubic block

Explanation:

Have a nice day ~(ﾉ◕ヮ◕)ﾉ*:･ﾟ✧ (hope this helps 0-0)