The image above represents total cross-sectional areas of gates.

To compute for total cross-sectional areas of gates, four essential parameters are needed and these parameters are **mass of the casting (G), density of melt (ρ), pouring time (t) **and **pouring speed (v).**

The formula for calculating total cross-sectional areas of gates:

F_{g} = ^{G} / _{ρtv}

Where:

F_{g} = Total Cross-Sectional Area of Gates

G = Mass of the Casting

ρ = Density of Melt

t = Pouring Time

v = Pouring Speed

Let’s solve an example;

Find the total cross-sectional areas of gates when mass of the casting is 12, density of melt is 16, pouring time is 5 and pouring speed is 25.

This implies that;

G = Mass of the Casting = 12

ρ = Density of Melt = 16

t = Pouring Time = 5

v = Pouring Speed = 25

F_{g} = ^{G} / _{ρtv}

F_{g} = ^{12} / _{16 x 5 x 25}

F_{g} = ^{12} / _{2000}

F_{g} = 0.006

Therefore, the **total cross-sectional areas of gates **is **0.006 m ^{2}.**

**Calculating the Mass of the Casting when the Total Cross-Sectional Areas of Gates, the Density of Melt, the Pouring Time and the Pouring Speed is Given.**

G = F_{g} x ρtv

Where;

G = Mass of the Casting

F_{g} = Total Cross-Sectional Area of Gates

ρ = Density of Melt

t = Pouring Time

v = Pouring Speed

Let’s solve an example;

Find the mass of the casting when the total cross-sectional areas of gates is 32, the density of melt is 4, the pouring time is 10 and the pouring speed is 2.

This implies that;

F_{g} = Total Cross-Sectional Area of Gates = 32

ρ = Density of Melt = 4

t = Pouring Time = 10

v = Pouring Speed = 2

G = F_{g} x ρtv

G = 32 x 4 x 10 x 2

G = 2560

Therefore, the **mass of the Casting **is **2560 m.**

**Calculating the Density of Melt when the Total Cross-Sectional Areas of Gates, the Mass of the Casting, Pouring Time and the Pouring Speed is Given.**

ρ = ^{G / Fg} / _{tv}

Where;

ρ = Density of Melt

F_{g} = Total Cross-Sectional Area of Gates

G = Mass of the Casting

t = Pouring Time

v = Pouring Speed

Let’s solve an example;

Find the density of melt when the total cross-sectional area of gates is 15, the mass of the casting is 30, the pouring time is 8 and the pouring speed is 12.

This implies that;

F_{g} = Total Cross-Sectional Area of Gates = 15

G = Mass of the Casting = 30

t = Pouring Time = 8

v = Pouring Speed = 12

ρ = ^{G / Fg} / _{tv}

ρ = ^{30 / 15} / _{8 x 12}

ρ = ^{2} / _{96}

ρ = 0.02

Therefore, the **density of melt **is **0.02.**

**Calculating the Pouring Time when the Total Cross-Sectional Areas of Gates, the Mass of the Casting, the Density of Melt and the Pouring Speed is Given.**

t = ^{G / Fg} / _{ρv}

Where;

t = Pouring Time

F_{g} = Total Cross-Sectional Area of Gates

G = Mass of the Casting

ρ = Density of Melt

v = Pouring Speed

Let’s solve an example;

Find the pouring time when the total cross-sectional areas of gates is 20, the mass of the casting is 14, the density of melt is 16 and the pouring speed is 10.

This implies that;

F_{g} = Total Cross-Sectional Area of Gates = 20

G = Mass of the Casting = 14

ρ = Density of Melt = 16

v = Pouring Speed = 10

t = ^{G / Fg} / _{ρv}

t = ^{14 / 20} / _{16 x 10}

t = ^{0.7} / _{160}

t = 0.004375

Therefore, the **pouring time **is **0.004375 s.**

**Calculating the Pouring Speed when the Total Cross-Sectional Areas of Gates, the Mass of the Casting, the Density of Melt and the Pouring Time is Given.**

v = ^{G / Fg} / _{ρt}

Where;

v = Pouring Speed

F_{g} = Total Cross-Sectional Area of Gates

G = Mass of the Casting

ρ = Density of Melt

t = Pouring Time

Let’s solve an example;

Find the pouring speed when the total cross-sectional areas of gates is 7, mass of the casting is 28, density of melt is 21 and the pouring time is 2.

This implies that;

F_{g} = Total Cross-Sectional Area of Gates = 7

G = Mass of the Casting = 28

ρ = Density of Melt = 21

t = Pouring Time = 2

v = ^{G / Fg} / _{ρt}

v = ^{28 / 7} / _{21 x 2}

v = ^{4} / _{42}

v = 0.095

Therefore, the **pouring speed **is **0.095.**

Nickzom Calculator – **The Calculator Encyclopedia** is capable of calculating the total cross-sectional areas of gates.

To get the answer and workings of the total cross-sectional areas of gates using the **Nickzom Calculator – The Calculator Encyclopedia. **First, you need to obtain the app.

You can get this app via any of these means:

**Web** – https://www.nickzom.org/calculator-plus

To get access to the **professional **version via web, you need to **register** and **subscribe **for** NGN 1,500 **per** annum** to have utter access to all functionalities.

You can also try the **demo **version via https://www.nickzom.org/calculator

**Android (Paid)** – https://play.google.com/store/apps/details?id=org.nickzom.nickzomcalculator

**Android (Free)** – https://play.google.com/store/apps/details?id=com.nickzom.nickzomcalculator

**Apple (Paid)** – https://itunes.apple.com/us/app/nickzom-calculator/id1331162702?mt=8

Once, you have obtained the calculator encyclopedia app, proceed to the **Calculator Map, **then click on **Materials & Metallurgical**** **under **Engineering****.**

Now, Click on **Foundry Technology**** **under **Material & Metallurgical**

Now, Click on **Design of Gating System **under **Foundry Technology**

Now, Click on **Total Cross-Sectional Areas of Gates**** **under **Design of Gating System**

The screenshot below displays the page or activity to enter your values, to get the answer for the total cross-sectional areas of gates according to the respective parameters which are the **mass of the casting (G), density of melt (ρ), pouring time (t) **and **pouring speed (v).**

Now, enter the values appropriately and accordingly for the parameters as required by the **mass of the casting (G)** is **12**,** density of melt (ρ)** is **16**,** pouring time (t) **is **5 **and **pouring speed (v)** is **25**.

Finally, Click on Calculate

As you can see from the screenshot above, **Nickzom Calculator**– The Calculator Encyclopedia solves for the total cross-sectional areas of gates and presents the formula, workings and steps too.