Answer:
The area of the base of the rectangular prism is:
- <u>18 square centimeters</u>.
The height of the rectangular prism is:
The volume of the rectangular prism is:
- <u>108 cubic centimeters</u>.
Step-by-step explanation:
To find the area of the base of the prism, you must remember that it corresponds to the rectangle formed by the points ABCD, with this in mind we apply the area formula that is equal to:
- Area of a rectangle = base * height.
Since the rectangle formed by the mentioned points has a base of 9 cm and a height of 2 cm, these values are the ones we use in the formula:
- Area of a rectangle = 9 cm * 2 cm
- <u>Area of a rectangle = 18 cm^2
</u>
Since the height requested by the second question is not from the rectangle at the base but from the entire prism, you should look at the height formed by the AW points, which as you can see is:
- <u>Prism height = 6 cm
</u>
Once we have these two data, it is very easy to calculate the volume since they are what we require in the volume formula:
- Volume = area * height.
- Volume = 18 cm^2 * 6 cm
- <u>Volume = 108 cm^3</u>
The coefficient of y is 14 and the constant is 13.
You can find this by combining like terms first.
6x + 12y + 5 + 2y + 8
6x + 14y + 5 + 8
6x + 14y + 13
Now the coefficient is the number next to y. The constant is the number on its own.
Answer:
- The correct equation is 6s = 7.80
- The solution of the equation is s = $1.30
Step-by-step explanation:
To find the product of 6 and a number, first we denote the unknown number as s.
The product of 6 and s is the same as 6s.
If the product of both numbers is $7.80, then 6s = $7.80
The correct equation is therefore 6s = $7.80
To get the value of s, we will divide both sides by 6 to have:
6s/6 = $7.80/6
s = $1.30
Based on the calculation, the following statements are true
- The correct equation is 6s = 7.80
- The solution of the equation is s = $1.30