Use the image to answer the question. An illustration shows a vertical rectangular prism made of cubes placed as 2 columns of 4 rows each. What is the volume of the right rectangular prism packed with 8 cubes? Each cube has an edge length of 15 centimeter. (1 point) Responses 85 cubic centimeters Start Fraction 8 over 5 End Fraction cubic centimeters 8125 cubic centimeters Start Fraction 8 over 125 End Fraction cubic centimeters 1125 cubic centimeters Start Fraction 1 over 125 End Fraction cubic centimeters 8 cubes

1 answer

To find the volume of the right rectangular prism packed with 8 cubes, we first need to calculate the volume of one cube.

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

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

Given that the edge length of each cube is 15 centimeters:

\[ V = 15 , \text{cm} \times 15 , \text{cm} \times 15 , \text{cm} = 15^3 , \text{cm}^3 = 3375 , \text{cm}^3 \]

Since there are 8 cubes, the total volume of the rectangular prism (which is equal to the volume of the 8 cubes) is:

\[ \text{Total Volume} = 8 \times 3375 , \text{cm}^3 = 27000 , \text{cm}^3 \]

Thus, the volume of the rectangular prism packed with 8 cubes is:

\[ \text{Volume} = 27000 , \text{cubic centimeters} \]

Since none of the provided responses list 27000 cubic centimeters, please double-check the options or provide more context for accuracy.