Question

Idk how to get the answer

Answer 1

12

Explanation:

If the volume of the cube is 6 "units" then you know 6 of these can fit inside the prism.

Since the question asks how many 1/2 "units" then it most be double of 6 which is 12.

Thinking about it more visually, you could envision putting half "units" inside of the prism until it is full, which again would be 12

Answer 2

It takes 48 cubes to fill the prism.

Explanation:

Volume of Prism = 6 units³

In a cube, all sides are equal.

Length of Cube, L = 1/2 unit

∴ Volume of a Cube = L³ = 1/2 x 1/2 x 1/2 = 1/8 unit³

Now, How many 1/8 unit³ cubes will contain 6 units³ volume of Prism.

⇒ 6 units³ ÷ 1/8 unit³

⇒ 6 × 8

⇒ 48