Question

How many cubes with the side lengths of 1/3 ft completely fill the prism?

Answer 1

We’ll start off by multiplying all 3 as it is a rectangular prism. turn 2 2/3 improper; 8/3.
1 can be 3/3.

and 2/3 is 2/3. So when you multiply

8/3 x 3/3 x 2/3 gives 48/27.

now: since it is a cube all the sides are the same

1/3 x 1/3 x 1/3 is 1/27.

48/27 divided by 1/27 is 48

Answer 48.

Answer 2

48 cubes

Explanation:

To begin, we must find the volume of both the cube and the rectangular prism.

The volume of a cube is a side to the 3rd power.

1/3 · 1/3 · 1/3 = 1/27

The volume of a prism is l * w * h.

2/3 · 1 · 8/3 = 16/9

Now, we have the volume of a cube and the prism. Since we have the find how many cubes can fit into the prism, we must divide 16/9 by 1/27.

16/9 ÷ 1/27 = 16/9 · 27/1 = 432/9 = 48/1 = 48

Therefore, 48 cubes will fit into the prism.