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3 years ago

Express the surface area A of a cube in terms of its volume V

2 answers:

6 0

The surface area of a cube of side-length a is S = 6a" (six sides each of area a”) and the volume is V = a*. Thus, a=v1/3, so S = 6V2/3.

faust18 [17]3 years ago

3 0

S= 6a^2
V=a^3
Then a=v^1/3
So surface area=6(v)^2/3

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Step-by-step explanation:

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2 years ago

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3 years ago

In the following exercises, solve

yKpoI14uk [10]

Answer:

When the volume of a gas in a container varies inversely with the pressure on the gas and a container of nitrogen has a volume of 29.5 litres with 2000 psi. So, if the tank has a 14.7 psi pressure, then the volume of the tank would be 4013.6 litres.

Step-by-step explanation:

The volume of a gas in a container varies inversely with the pressure on the gas. If a container of nitrogen has a volume of litres with psi, what is the volume if the tank has a psi pressure.

Calculate the volume to the nearest whole number.

Use the given values and calculate the proportionality constant as well as required solution.

Step 1 of 2

Write the inversely proportionality relation between the volume and pressure of a gas in container.

$v \propto \frac{1}{p}$

Where volume is represented by v and pressure is represented by p.

Remove the proportionality and place a constant say k.

$v=\frac{k}{p}$

Substitute the given values of nitrogen that v=29.5 and

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$\begin{aligned}&29.5=\frac{k}{2000} \\&\Rightarrow k=29.5 \times 2000 \\&\Rightarrow k=59000\end{aligned}$

Step 2 of 2

Substitute the value p=14.7 and above calculated k value in the equation

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A constant is a number that never changes value. Example:
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3 years ago

Read 2 more answers