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

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

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

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

10 cubic meters
10 cubic meters
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1 answer

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

The volume \( V \) of a cube is given by the formula:

\[ V = a^3 \]

where \( a \) is the edge length of the cube.

Given that each cube has an edge length of 13 meters, we calculate the volume of one cube:

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

Since the right rectangular prism is packed with 10 cubes, the total volume of the prism is:

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

However, looking at the responses you provided, it appears there's a mistake. The calculated volume of the right rectangular prism is significantly larger than what the answer choices show.

None of the choices you provided seem to match the calculation of the volume of 10 cubes with a cube edge of 13 meters. Would you like to clarify or recheck the values provided in the question?