Answer:
840 cubic inches
Explanation:
Given:
The wooden steps have two parts.
Both of which are rectangular prisms.
The top part is 6 inches tall, 5 inches wide and 10 inches long.
The bottom part is 6 inches tall, 9 inches wide and 10 inches long.
Question asked:
What is the volume of the steps?
Solution:
For top part
Length = 10 inches
Width = 5 inches
Height = 6 inches
As we know:
![Volume\ of\ rectangular\ prism =length* width* height](https://img.qammunity.org/2021/formulas/mathematics/high-school/6jutzkvgqqznbs1zoabu4v758arftzg7wg.png)
![=10*5*6=300\ cubic\ inches](https://img.qammunity.org/2021/formulas/mathematics/high-school/iug2brlcywfa8ron2ep9njrds8ebdykig8.png)
For bottom part
Length = 10 inches
Width = 9 inches
Height = 6 inches
Similarly
![Volume\ of\ rectangular\ prism =length* width* height](https://img.qammunity.org/2021/formulas/mathematics/high-school/6jutzkvgqqznbs1zoabu4v758arftzg7wg.png)
![=10*9*6=540\ cubic\ inches](https://img.qammunity.org/2021/formulas/mathematics/high-school/bda2upmlvxexktetvjdreqkd49tgxgb4g5.png)
Volume of two steps = 300 + 540 = 840 cubic inches
Therefore, the volume of the steps are 840 cubic inches.