Question

a rectangular prism is shown in the image
what is the volume of the prism?
195 yd³
97\frac{1}{2} yd³
48\frac{3}{4} yd³
35\frac{1}{2} yd³

Explanation:

Step1: Recall volume formula for rectangular prism

The volume \( V \) of a rectangular prism is given by \( V = l \times w \times h \), where \( l \) is length, \( w \) is width, and \( h \) is height.
Here, \( l = 5 \) yd, \( w = 3 \) yd, and \( h = 6\frac{1}{2}=\frac{13}{2} \) yd.

Step2: Substitute values into formula

\( V = 5\times3\times\frac{13}{2} \)

Step3: Calculate the product

First, \( 5\times3 = 15 \). Then, \( 15\times\frac{13}{2}=\frac{195}{2}=97\frac{1}{2} \) yd³.

Answer:

\( 97\frac{1}{2} \text{ yd}^3 \) (corresponding to the option \( 97\frac{1}{2} \text{ yd}^3 \))