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Aloiza [94]
3 years ago
9

a rectangle prism is 4 units high, 2 units wide, and 6 units long. what is its surface area in square units?

Mathematics
2 answers:
Dima020 [189]3 years ago
5 0
SA: 2(w × l + h × l + h × w)    w = 2, l = 6, h = 4

SA: 2(2 × 6 + 4 × 6 + 4 × 2)

SA: 2(12 + 24 + 8)

SA: 2(36 + 8)

SA: 2(44)

SA: 88

hope that helps, God bless!
marshall27 [118]3 years ago
4 0
48 because 4*2 is 8 and then 8*6 is 48
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How do i solve y=3bx−7x for x?
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A cylinder shaped can needs to be constructed to hold 400 cubic centimeters of soup. The material for the sides of the can costs
LenKa [72]

Answer:

The dimensions of the can that will minimize the cost are a Radius of 3.17cm and a Height of 12.67cm.

Step-by-step explanation:

Volume of the Cylinder=400 cm³

Volume of a Cylinder=πr²h

Therefore: πr²h=400

h=\frac{400}{\pi r^2}

Total Surface Area of a Cylinder=2πr²+2πrh

Cost of the materials for the Top and Bottom=0.06 cents per square centimeter

Cost of the materials for the sides=0.03 cents per square centimeter

Cost of the Cylinder=0.06(2πr²)+0.03(2πrh)

C=0.12πr²+0.06πrh

Recall: h=\frac{400}{\pi r^2}

Therefore:

C(r)=0.12\pi r^2+0.06 \pi r(\frac{400}{\pi r^2})

C(r)=0.12\pi r^2+\frac{24}{r}

C(r)=\frac{0.12\pi r^3+24}{r}

The minimum cost occurs when the derivative of the Cost =0.

C^{'}(r)=\frac{6\pi r^3-600}{25r^2}

6\pi r^3-600=0

6\pi r^3=600

\pi r^3=100

r^3=\frac{100}{\pi}

r^3=31.83

r=3.17 cm

Recall that:

h=\frac{400}{\pi r^2}

h=\frac{400}{\pi *3.17^2}

h=12.67cm

The dimensions of the can that will minimize the cost are a Radius of 3.17cm and a Height of 12.67cm.

3 0
3 years ago
Solve for x 72-12x=32-x
Deffense [45]
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3 0
3 years ago
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