The company has a sample box that is a rectangular prism with a rectangular base with an area of 231⁄3 in2. The height of the prism is 1 1⁄4 in. Determine the volume of the sample box.

Respuesta :

Answer:

[tex]29.17 in^3[/tex]

Step-by-step explanation:

We are given that  

Base area of sample box,a=[tex]23\frac{1}{3} in^2=\frac{70}{3}in^2[/tex]

Height of the sample box,h=[tex]1\frac{1}{4}=\frac{5}{4} in[/tex]

We have to find the volume of the sample box.

We know that  

Volume of rectangular prism,[tex]V=ah[/tex]

Where a=Area of base

Using the formula  

Volume of sample box=[tex]\frac{70}{3}\times \frac{5}{4}=29.17 in^3[/tex]

Hence, the volume of the sample box=[tex]29.17 in^3[/tex]