A box is being constructed in the shape of a right rectangular prism. What is the volume of the box when the length is 25 inches, the width is 15 inches, and the height is 5 inches?(1 point)

Responses

1,875 cubic inches
1,875 cubic inches

1,750 cubic inches
1,750 cubic inches

45 cubic inches
45 cubic inches

200 cubic inches

1 answer

The volume \( V \) of a right rectangular prism is calculated using the formula:

\[ V = \text{length} \times \text{width} \times \text{height} \]

For the given dimensions:

  • Length = 25 inches
  • Width = 15 inches
  • Height = 5 inches

Now, substituting the values into the formula:

\[ V = 25 , \text{inches} \times 15 , \text{inches} \times 5 , \text{inches} \]

Calculating step-by-step:

  1. First, calculate \( 25 \times 15 \): \[ 25 \times 15 = 375 \]

  2. Next, multiply that result by the height (5 inches): \[ 375 \times 5 = 1875 \]

Thus, the volume of the box is:

\[ \boxed{1,875} \text{ cubic inches} \]