The smallest amount of material needed is 54 square centimeters
<h3>How to determine the amount of material needed?</h3>
The given parameters are:
Volume = 36 cubic centimeters
Represent length with x, width with y and height with z.
So, we have
x = 3y
The volume is calculated as:
V = xyz
This gives
V = 3y²z
Substitute 36 for V
3y²z = 36
Divide by 3
y²z = 12
Make z the subject
z = 12/y²
The surface area is:
S = 2(xy + xz + yz)
This gives
S = 2(3y² + 3yz + yz)
Evaluate the like terms
S = 2(3y² + 4yz)
Expand
S = 6y² + 8yz
Substitute z = 12/y²
S = 6y² + 8y * 12/y²
This gives
S = 6y² + 96/y
Differentiate
S' = 12y - 96/y²
Set to 0
12y - 96/y² = 0
Multiply through by y²
12y³ - 96 = 0
Add 96 to both sides
12y³ = 96
Divide by 12
y³ = 8
Take the cube root of both sides
y = 2
Recall that:
x = 3y and z = 12/y²
This gives
x = 3 * 2 = 6
z = 12/2² = 3
Recall that:
S = 2(xy + xz + yz)
So, we have:
S = 2(6 * 2 + 3 * 3 + 2 * 3)
Evaluate
S = 54
Hence, the smallest amount of material needed is 54 square centimeters
Read more about surface areas at:
brainly.com/question/76387
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Answer:
2/3
Step-by-step explanation:
2/3 times 1 is 2/3 of 1
Answer:
<em>0.009</em>
Step-by-step explanation:
Simply move the <u>decimal point</u> from nine- then <u>move it to the right</u> three times.
If you need any more help, do not hesitate to ask me. :)
Answer:
Mean = 5 feet 2 inches.
Step-by-step explanation:
1 feet = 12 inches
Height of Dad = 6 feet 2 inches = {(6 × 12)+2} = 74 inches
Mom is 3 inches shorter than dad = 74 - 3 = 71 inches (5 ft 11 in)
Since mom is 2 inches taller than Ivan,
Height of Ivan = 71 - 2 = 69 inches (5 ft 9 in)
Marica is 5 inches shorter than Ivan,
Height of Marica = 69 - 5 = 64 inches (5 ft 4 in)
Marica is twice as tall as Sally-Jo.
Height of Sally-Jo = 64 ÷ 2 = 32 inches (2 ft 8 in)
Hence the mean height of the Schuller family
= 
= 62 inches
converting 62 inches to feet = 
= 5 feet 2 inches
Mean height of the Schuller family is 5 feet 2 inches.
Answer:
When you multiply two integers with different signs, the result is always negative. Just multiply the absolute values and make the answer negative. When you divide two integers with the same sign, the result is always positive. Just divide the absolute values and make the answer positive.
Step-by-step explanation:
its easy as 1, 2, 3 lol
