A right rectangular prism has edge lengths of 3 1/2ft, 2 1/4ft, and 4 1/3ft. Safari wants to completely fill the prism with cube

Question

3 years ago

10

s. The cubes must have edge lengths that are unit fractions. What is the greatest edge length of the cubes that Safara should use? Explain.

2 answers:

Leona [35] · Answer 1 · 2022-05-16T00:25:51+03:00

Leona [35]3 years ago

5 0

Answer:

the greatest edge is 4 1/3ft

Step-by-step explanation:

anyanavicka [17] · Answer 2 · 2022-05-16T01:30:14+03:00

sorry if its the wrong equation, the questions sometimes glitch but if it is maybe this will kind of be an example of how to do it

Answer:

324 cubes.

Step-by-step explanation:

#### be the number of cubes with edge length 1/12 meter.

We have been given the lengths of edges of a right rectangular prism as meter, meter and meter.

, where,

L = Length of prism,

B = Breadth of prism,

H = Height of prism.

, where a= length of each edge of the cube.

The volume of n cubes with each edge 1/12 will be equal to the volume of rectangular prism.

Upon substituting our given values we will get,

Let us multiply both sides of our equation by 1728.

Therefore, 324 unit cubes can fit inside the given right rectangular prism.

sorry if its the wrong equation, the questions sometimes glitch but if it is maybe this will kind of be an example of how to do it