What formula can be used to find the volume of a right rectangular prism with length 1/4

, width 3/4
, and height 1 3/4
?(1 point)
Responses

1/4×3/4×3/4

1/4×3/4×13/4

1/4×3/4×7/4

1/4×1/4×1/4

1 answer

To find the volume of a right rectangular prism, you use the formula:

\[ \text{Volume} = \text{Length} \times \text{Width} \times \text{Height} \]

For your dimensions:

  • Length = \( \frac{1}{4} \)
  • Width = \( \frac{3}{4} \)
  • Height = \( 1 \frac{3}{4} = \frac{7}{4} \) (since \( 1 \frac{3}{4} = \frac{4}{4} + \frac{3}{4} = \frac{7}{4} \))

Now substituting these values into the volume formula:

\[ \text{Volume} = \frac{1}{4} \times \frac{3}{4} \times \frac{7}{4} \]

The corresponding choice from the options you provided is:

1/4 × 3/4 × 7/4