On Your Own 7. The volume of a right rectangular prism is \( \ell w h \), where \( \ell \) is the length, \( w \) is the width, and \( h \) is the height. What is the volume of a right rectangular prism with length 6 inches, width 4 inches, and height \( \frac{3}{4} \) inch? Substitute 6 for \( \ell, 4 \) for \( w \), and \( \frac{3}{4} \) for \( h \). Multiply.

To find the volume of the right rectangular prism, you substitute the values into the formula \( V = \ell w h \). So, you have \( V = 6 \times 4 \times \frac{3}{4} \). First, multiply the length and width: \( 6 \times 4 = 24 \). Then, multiply by the height: \( 24 \times \frac{3}{4} = 18 \). Therefore, the volume of the prism is \( 18 \) cubic inches! A fun twist on measuring volume is to think of it in terms of everyday items. For example, imagine filling up your rectangular prism with tiny marshmallows! If each marshmallow takes up about 1 cubic inch, that would mean you can fit 18 marshmallows into your prism. What a sweet little snack party that would be! When calculating the volume, it's common to forget to convert measurements if they are given in different units. Always ensure your dimensions are in the same unit before starting the calculation. In this case, all dimensions were in inches, making it straightforward—no conversions were necessary! But if you’d mixed metrics, like centimeters and inches, watch out for that calculation slip!