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What is the volume of the right rectangular prism if each of the 10 cubes has an edge length of 13
meter?(1 point)
Responses

103
cubic meters
10 thirds cubic meters

10 cubic meters
10 cubic meters

127
cubic meters
1 over 27 cubic meters

1027
cubic meters

1 answer

To find the volume of the right rectangular prism made up of 10 cubes, we first need to calculate the volume of one cube. The formula for the volume of a cube is:

\[ V = a^3 \]

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

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

However, looking at the provided options, they are much smaller values, indicating that there might be a misunderstanding in the number of cubes or the scale of the question.

The options provided do not seem to match the calculated volume based on given dimensions. Please clarify the question if needed. However, based on the calculated volume, the correct answer is 21970 cubic meters; if it needs to fit into the available options, it seems none of the answers listed are correct.