A right rectangular prism is packed with identical cubes. The dimensions of the prism are: length = 8 cubes, width = 3 cubes, height = 2 cubes. The side length of each cube is ½ inch. What is the volume, in cubic inches, of the right rectangular prism?

Question

PositiveVibes · Answer

plz answer I am confusion

martai · Answer

oki

martai · Answer

but does this question have answer choices

PositiveVibes · Answer

like multiple choice?

martai · Answer

yes

PositiveVibes · Answer

No it doesn't

PositiveVibes · Answer

This is what is says

SmokeyBrown · Answer

Ok, we know how many cubes fit along each side of the rectangular prism, and we also know the dimensions of the cubes. This gives us two possible methods for solving the volume of the rectangular prism:
One method is for us to find the volume of each cube and then find out how many cubes fit into the prism. The volume of each cube is given by its dimensions, 1/2*1/2*1/2, so each cube is 1/8 cubic inches. Also, the number of cubes that fit into the prism totals 8*3*2 cubes, which is 48 cubes. If 48 cubes fit into the prism and each cube is 1/8 cubic inch of volume, the total volume of the prism is 48*1/8 cubic inches, or 6 cubic inches

The second method would involve us finding the dimensions of the prism based on the number of cubes that fit on each side. Since each cube is 1/2 inch on each side, the length of the prism would be 8*1/2, the width would be 3*1/2, and the height would be 2*1/2. So, we find that the prism is 4 inches long, 3/2 inches wide, and 1 inch high. Then, we can find that the volume of the prism is 4*3/2*1, which equals 6 cubic inches

Two different methods for the same result. Please let me know if there's anything about either explanation I can clarify :)

PositiveVibes · Answer

The total area of the polygon would be a different equation right?

SmokeyBrown · Answer

@positivevibes wrote:

This is what is says

Well, that's not the same question you've screenshotted as the question about the prism and the cubes, but we can look at that one too

SmokeyBrown · Answer

@positivevibes wrote:

The total area of the polygon would be a different equation right?

You're right, different polygons would have different equations to find their areas. For instance, the area of a rectangle is solved by length*width, while the area of a triangle is solved by base*height*1/2

PositiveVibes · Answer

Ok I will figure it out you can continue with your night or day

SmokeyBrown · Answer

That sounds good. Please don't hesitate to reach out if there's anything we might be able to help with :)

PositiveVibes · Answer

Ok thank you!

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