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:
<u>For top part</u>
Length = 10 inches
Width = 5 inches
Height = 6 inches
<u><em>As we know:</em></u>
<u><em /></u>![Volume\ of\ rectangular\ prism =length\times width\times height](https://tex.z-dn.net/?f=Volume%5C%20of%5C%20rectangular%5C%20prism%20%3Dlength%5Ctimes%20width%5Ctimes%20height)
![=10\times5\times6=300\ cubic\ inches](https://tex.z-dn.net/?f=%3D10%5Ctimes5%5Ctimes6%3D300%5C%20cubic%5C%20inches)
<u>For bottom part</u>
Length = 10 inches
Width = 9 inches
Height = 6 inches
Similarly
![Volume\ of\ rectangular\ prism =length\times width\times height](https://tex.z-dn.net/?f=Volume%5C%20of%5C%20rectangular%5C%20prism%20%3Dlength%5Ctimes%20width%5Ctimes%20height)
![=10\times9\times6=540\ cubic\ inches](https://tex.z-dn.net/?f=%3D10%5Ctimes9%5Ctimes6%3D540%5C%20cubic%5C%20inches)
Volume of two steps = 300 + 540 = 840 cubic inches
<em>Therefore, the volume of the steps are 840 cubic inches.</em>
<em></em>
- 4x + 16y + 24z
- = 4(x + 4y + 6z)
<u>Answer</u><u>:</u>
<u>4</u><u>(</u><u>x </u><u>+</u><u> </u><u>4</u><u>y</u><u> </u><u>+</u><u> </u><u>6</u><u>z</u><u>)</u>
Hope you could understand.
If you have any query, feel free to ask
Answer:
X = 1
Step-by-step explanation:
Just distribute properly, and distribute the fraction multiplying the numerator by 4 and 2