A rectangular prism with a volume of 666 cubic units is filled with cubes with side lengths of \dfrac12 2 1 start fraction, 1, divided by, 2, end fraction unit. How many \dfrac12 2 1 start fraction, 1, divided by, 2, end fraction unit cubes does it take to fill the prism?

48 cubes.

Step-by-step explanation:

Let n represent number of cubes with each side units.

We have been given that a rectangular prism with a volume of 6 cubic units is filled with cubes with side lengths of units. We are asked to find the number of cubes that will fill the prism.

We know that volume of n cubes will be equal to volume of rectangular prism.

We also know that volume of a cube with side length 'x' is equal to .

Therefore, it will take 48 cubes with each side units to fill the prism.

25/4

step-by-step explanation:

call segment cd's length x. because dc and ab are parallel, angle acd and cab, so triangles adc and abc are similar and we can set up the equation x / ac = ac / ab, or x / 5 = 5 / 4 and x = 25/4.

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