Use the image to answer the question.

An illustration shows a 3 D rectangular cuboid segmented into 2 rows by 2 columns of blocks. The length is start fraction 2 over 5 end fraction, the width is start fraction 1 over 5 end fraction, and the height is start fraction 2 over 5 end fraction.

A right rectangular prism is made up of 4 cubes that are 15
inch on each side. Use the cube method or the formula method to find the volume. Reduce your answer to lowest terms.

(1 point)
Responses

45
cubic inches
Start Fraction 4 over 5 End Fraction cubic inches

4125
cubic inches
Start Fraction 4 over 125 End Fraction cubic inches

55=1
cubic inches
Start Fraction 5 over 5 End Fraction equals 1 cubic inches

425
cubic inches
Start Fraction 4 over 25 End Fraction cubic inches
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1 answer

To find the volume of the right rectangular prism made up of 4 cubes, each with a side length of 15 inches, you can use the formula for the volume of a cube, which is:

\[ \text{Volume} = \text{side length}^3 \]

First, calculate the volume of one cube:

\[ \text{Volume of one cube} = 15 \text{ in} \times 15 \text{ in} \times 15 \text{ in} = 3375 \text{ cubic inches} \]

Since there are 4 cubes, the total volume of the right rectangular prism is:

\[ \text{Total volume} = 4 \times 3375 \text{ cubic inches} = 13500 \text{ cubic inches} \]

So, the volume of the right rectangular prism is 13500 cubic inches.

However, this doesn't match any options provided in the question. There appears to be a mismatch, possibly because the context or method to calculate the volume was not accurately aligned with the choices.

If the question intended a different calculation based on the fractions provided for dimensions of a rectangular cuboid that is not specified clearly, please recheck the prompt or any calculation instruction closely.

In any case, based on the 4 cube information provided, the answer remains 13500 cubic inches.