Use the image to answer the question.

An illustration shows a vertical rectangular prism made of cubes placed as two columns, each 5 cubes high.

What is the volume of the right rectangular prism packed with 10 cubes? Each cube has an edge length of 13
meter.

(1 point)
Responses

103
cubic meters
Start Fraction 10 over 3 End Fraction cubic meters

127
cubic meters
Start Fraction 1 over 27 End Fraction cubic meters

1027
cubic meters
Start Fraction 10 over 27 End Fraction cubic meters

10 cubic meters

1 answer

To find the volume of the right rectangular prism that is packed with 10 cubes, we first need to determine the volume of a single cube.

The volume \( V \) of a cube is calculated using the formula:

\[ V = \text{edge length}^3 \]

Given that each cube has an edge length of 13 meters:

\[ V = 13^3 = 13 \times 13 \times 13 = 2197 \text{ cubic meters} \]

Since there are 10 cubes, the total volume of the rectangular prism packed with these cubes would be:

\[ \text{Total Volume} = 10 \times V = 10 \times 2197 = 21970 \text{ cubic meters} \]

Given the options provided, it seems I made an error because none of the answers match 21970 cubic meters. Let's calculate the outcome in terms of total volume:

  1. 103 cubic meters
  2. Start Fraction 10 over 3 End Fraction cubic meters
  3. 127 cubic meters
  4. Start Fraction 1 over 27 End Fraction cubic meters
  5. 1027 cubic meters
  6. Start Fraction 10 over 27 End Fraction cubic meters
  7. 10 cubic meters

It appears that the answer is not among the ones listed; please cross-check of re-evaluate the cube size or confirm if there are possibly smaller globe dimensions or volumes to clarify or adjust the figure. If I were to give a reasonable rounded conversion where I seemed to follow the calculations fundamentally right, I am left empty on the listed choices. Would you like to provide more detail or an adjustment on the edge size to analyze?