Use the image to answer the question.
An illustration shows a rectangular prism made of cubes placed as 3 columns, 2 cubes high and 2 cubes deep.
Find the volume of the right rectangular prism using the cube method. Each cube is 1/3 inch on each side. What is the volume of the prism? Provide your answer as a fraction reduced to the lowest terms.
(1 point)
here are the answers to the test
1.4/9
2.1/10
3.3/2
4.1/3
5.3/2
1 hope yall 100%:3
damn the bot is right🤯😱🙀
Based on the given information, the rectangular prism can be visualized as 3 columns of 2 x 2 cubes, which means the dimensions of the prism are:
Length = 3 cubes x (1/3 inch/cube) = 1 inch
Width = 2 cubes x (1/3 inch/cube) = 2/3 inch
Height = 2 cubes x (1/3 inch/cube) = 2/3 inch
Using the cube method, the volume of the prism can be found by multiplying the length, width, and height:
Volume = 1 inch x 2/3 inch x 2/3 inch
Volume = 4/9 cubic inches
Therefore, the volume of the right rectangular prism is 4/9 cubic inches.
To find the volume of the right rectangular prism, we can use the cube method where we calculate the number of cubes in each dimension and multiply them together.
From the given information, we know that the rectangular prism is made of cubes placed as 3 columns, 2 cubes high, and 2 cubes deep. Therefore, the number of cubes in each dimension is as follows:
- Number of cubes in the length (columns): 3 columns
- Number of cubes in the width (height): 2 cubes
- Number of cubes in the height (depth): 2 cubes
Multiplying these numbers together, we get:
3 x 2 x 2 = 12
So, there are a total of 12 cubes in the rectangular prism.
Each cube has dimensions of 1/3 inch on each side.
To find the total volume, we multiply the number of cubes by the volume of each cube. The volume of a cube can be calculated by cubing the length of one of its sides.
Since each side of the cube is 1/3 inch, the volume of each cube is:
(1/3)^3 = 1/27 cubic inches
Finally, we can find the total volume of the rectangular prism by multiplying the number of cubes (12) by the volume of each cube (1/27 cubic inches):
12 x (1/27) = 12/27
This can be simplified to the lowest terms by dividing both the numerator and denominator by their greatest common divisor, which is 3:
12/27 = 4/9
Therefore, the volume of the prism is 4/9 cubic inches.
@bretothecat
is right:) thank you!!!
To find the volume of the right rectangular prism, we can use the cube method.
Looking at the illustration, we can see that the prism is made up of cubes. Each cube has a side length of 1/3 inch.
To find the volume, we need to multiply the number of cubes in each dimension: length, width, and height.
From the illustration, we can determine that the length is 3 cubes, the width is 2 cubes, and the height is 2 cubes.
So the volume of the prism is:
Volume = length x width x height
= 3 cubes x 2 cubes x 2 cubes
= 12 cubes
Now we need to convert the volume in terms of cubes to inches. Since each cube has a side length of 1/3 inch, the volume in inches is equal to the number of cubes.
Therefore, the volume of the prism is 12 cubic inches.