The expression that represents the height of the oblique prism is: 1/2x.
What is the Volume of a Prism?
- The volume of a prism is defined as the total space occupied by the three-dimensional object.
- Mathematically, it is defined as the product of the area of the base and the length.
Prism Volume = base area × height of the prism
Given that the oblique prism has:
Volume = 1/2x³ cubic units
edge length = x units
Therefore,
base area = x²
Thus:
1/2x³ = (x²)(height)
Divide both sides by x²
1/2x³ ÷ x² = height
1/2x³ × 1/x² = height
x³/2 × 1/x² = height
height = x³/2x²
height = x/2
Therefore, the expression that represents the height of the oblique prism is: 1/2x.
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<u>The complete question is -</u>
An oblique prism with a square base of edge length x units has a volume of x3 cubic units. Which expression represents the height of the prism?
10/3 bran flakes can make a dozen muffins
A recipe requires 2 1/2 cups of bran flakes
The recipe can make 9 muffins
Let's calculate the amount of bran flakes it will take to make 1 muffin
5/2 = 9
x= 1
cross multiply
9x= 5/2
x= 5/18
A dozen is 12, the number of bran flakes to make a dozen can be calculated as follows
5/18= 1
y= 12
cross multiply
y= 5/18 × 12
y= 10/3
Hence it will take 10/3 to make a dozen muffins
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Please give the equation.
Answer:
<h2><em><u>
A to C = 25
</u></em></h2><h2><em><u>
A to B = 13
</u></em></h2><h2><em><u>
C to B = 37
</u></em></h2><h2><em><u>
</u></em></h2>
Step-by-Step Explanation:
<em><u>Perimeter</u></em> = 75
<em><u>Sides:</u></em>
2x + 3
3x + 4
2x - 9
<h2 /><h2><em><u>
1. Equal the sides added together to the perimeter</u></em></h2>
75 = 2x + 3 + 3x + 4 + 2x - 9
<h2><em><u>
2. Simplify Like terms</u></em></h2>
2x + 3 + 3x + 4 + 2x - 9 = 7x - 2
<h2><em><u>
3. Place the equation back together</u></em></h2>
75 = 7x - 2
<h2><em><u>
4. Isolate the variables and numbers</u></em></h2>
75 = 7x - 2
+2 +2
77 = 7x
<h2><em><u>
5. Simplify the equation</u></em></h2>
77 = 7x
/7 /7
<h2><em><u>
11 = x
</u></em></h2>
<h2><em><u>
6. Substitute the value of x into the side lengths.</u></em></h2>
2x + 3 = 2(11) + 3 = 22 + 3 = <em><u>25</u></em>
3x + 4 = 3(11) + 4 = 33 + 4 = <em><u>37</u></em>
2x - 9 = 2(11) - 9 = 22 - 9 = <em><u>13</u></em>
