Question

1. what is the volume of concrete used to create these steps? explain your work. top prism: v = _×_×_ = _ cubic in. bottom prism: v = _×_×_ = _ cubic in. total volume: v = _+_ = _ cubic in.

Explanation:

Step1: Calculate volume of top prism

The top prism has length $l = 40$ in, width $w=30$ in and height $h = 8$ in. The volume formula for a rectangular - prism is $V=l\times w\times h$. So, $V_1=40\times30\times8=9600$ cubic in.

Step2: Calculate volume of bottom prism

The bottom prism has length $l = 40$ in, width $w = 30$ in and height $h=16 - 8=8$ in. Using the volume formula $V=l\times w\times h$, we get $V_2=40\times30\times8 = 9600$ cubic in.

Step3: Calculate total volume

The total volume of the concrete used for the steps is the sum of the volumes of the two prisms. $V = V_1+V_2=9600 + 9600=19200$ cubic in.

Answer:

19200 cubic in.