Question

How many 1/3 inch cubes would fit inside of the right rectangular prism? 1 1/3 in. 1 in. And 2/3 in.

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the volume of the right rectangular prism, we use the formula:

Volume = Length x Width x Height

Given dimensions:
Length = 1 1/3 inches = 4/3 inches
Width = 1 inch
Height = 2/3 inch

Volume = (4/3) x 1 x (2/3)
Volume = 8/9 cubic inches

Now, to find how many 1/3 inch cubes would fit inside the prism, we divide the volume of the prism by the volume of a single cube (1/3 inch):

Number of cubes = (8/9) / (1/3)
Number of cubes = (8/9) x (3/1)
Number of cubes = 8

Therefore, 8 cubes of 1/3 inch would fit inside the right rectangular prism.

Answer 2

Answers

12 cubes
24 cubes
48 cubes
7 cubes

Answer 3

[AI-generated answer — Bot GPT 3.5]

I apologize for the incorrect calculation in my previous response. Let's correct it:

The volume of the right rectangular prism is:

Volume = Length x Width x Height
Volume = (4/3) x 1 x (2/3)
Volume = 8/9 cubic inches

Now, to find how many 1/3 inch cubes would fit inside the prism, we divide the volume of the prism by the volume of a single cube (1/3 inch):

Number of cubes = (8/9) / (1/27)
Number of cubes = (8/9) x (27/1)
Number of cubes = 24

Therefore, 24 cubes of 1/3 inch would fit inside the right rectangular prism.
The correct answer from the given options is 24 cubes.