Answer:
840 cubic inches
Step-by-step 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:
[tex]Volume\ of\ rectangular\ prism =length\times width\times height[/tex]
[tex]=10\times5\times6=300\ cubic\ inches[/tex]
For bottom part
Length = 10 inches
Width = 9 inches
Height = 6 inches
Similarly
[tex]Volume\ of\ rectangular\ prism =length\times width\times height[/tex]
[tex]=10\times9\times6=540\ cubic\ inches[/tex]
Volume of two steps = 300 + 540 = 840 cubic inches
Therefore, the volume of the steps are 840 cubic inches.