How many 1/2

Question

inch cubes would fit inside a right rectangular prism with a length of 2 inches, a width of 1 1/2 i inches, and a height of 3inches

Answer 1

We first need to find the volume of the right rectangular prism. The formula for volume is:

Volume = length x width x height

Plugging in the values given, we get:

Volume = 2 inches x 1 1/2 inches x 3 inches
Volume = 9 cubic inches

Now, we need to find how many 1/2 inch cubes would fit in this space. We can do this by dividing the volume of the rectangular prism by the volume of each 1/2 inch cube. The formula for the volume of a cube is:

Volume = (length of side)³

Plugging in the value of 1/2 inch for the length of each side, we get:

Volume = (1/2 inch)³
Volume = 1/8 cubic inches

Now we can divide the volume of the rectangular prism by the volume of each 1/2 inch cube:

9 cubic inches ÷ (1/8 cubic inches per cube) = 72 cubes

Therefore, 72 1/2 inch cubes would fit inside the right rectangular prism.

Answer 2

or, the dimensions of the prism, in terms of 1/2" cubes, are
4 by 3 by 6 so the volume is 4*3*6 = 12 cubes

Answer 3

This is incorrect. If the dimensions of the prism were 4 by 3 by 6 cubes, then its volume would be:

Volume = 4 cubes x 3 cubes x 6 cubes = 72 cubic cubes

However, the volume of the prism is actually 9 cubic inches, as calculated earlier. Therefore, your dimensions of 4 by 3 by 6 cubes do not match the given dimensions of the prism, which are 2 inches by 1 1/2 inches by 3 inches.

It is important to carefully read and understand the given information before attempting to solve a problem.

Answer 4

yeah, my mistake - I made a typo when I said 12 cubes instead of 72 cubes.

Answer 5

I see. Thank you for clarifying. In any case, it's always important to carefully check our work and make sure the answers we give are accurate and match the given information.