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Katena32 [7]
4 years ago
9

A rectangular piece of​ cardboard, whose area is 352 square​ centimeters, is made into an open box by cutting a 2​-centimeter sq

uare from each corner and turning up the sides. If the box is to have a volume of 432 cubic​ centimeters, what size cardboard should you start​ with?
Physics
1 answer:
Usimov [2.4K]4 years ago
8 0

Answer:

Dimension of cardboard is 22 m by 16 m

Explanation:

Given that,

Area = 352 cm²

Side of each square cutting from corner = 2 cm

Volume of box = 432 cm³

Let the two sides are x and y.

The area of the rectangular piece is

xy=352

y=\dfrac{352}{x} -------- (1)

The volume of the rectangular piece

2(x-4)(\dfrac{352}{x}-4)=432

x^2-38x+352=0

(x-16)(x-22)=0

x=16,22

Put the value of x in the equation (I)

For x = 16

y=\dfrac{352}{16}=22

For x = 22

y=\dfrac{352}{22}=16

Dimension of cardboard is 22 m by 16 m

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Bluing products in higher concentrations can darken jeans and other blue cloth.

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2 years ago
Two cars cover the same distance in a straight line. Car A covers the distance at a constant velocity. Car B starts from rest an
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Answer:

a) 2.43 m/s

b) 4.83 m/s

c) 0.023 m/s²

Explanation:

a) Both cars cover a distance of 510 m in 210 s. Since car A has no acceleration

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\text{Speed}=\frac{510}{210}=2.43\ m/s

Velocity of car A is 2.43 m/s

t = Time taken = 210 seconds

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v = Final velocity

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c)

s=ut+\frac{1}{2}at^2\\\Rightarrow 510=0\times 210+\frac{1}{2}\times a\times 210^2\\\Rightarrow a=\frac{510\times 2}{210^2}\\\Rightarrow a=0.023\ m/s^2

Acceleration of car B is 0.023 m/s²

b)

v=u+at\\\Rightarrow v=0+0.023\times 210\\\Rightarrow v=4.83\ m/s

Final velocity of car B is 4.83 m/s

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Q2.
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Answer:

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Power = current * voltage

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Answer:

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