The gold bar has a trapezium cross section area (6+12) x 5/2. Gold has a density of 19.3 grams per cm^3.Work put the mass of the gold bar. Put your answer in kilograms

Step-by-step explanation:

The volume of the gold bar= area of trapezium x length of gold bar

We know the length of the gold bar is 16 cm

Area trapezium formula: 1/2 (a+b)*h

So for the area of the trapezium: (6 + 12)*5 /2 which makes 45 cm^2

Volume of gold bar= 45cm^2 x 16 cm which makes 720^3 (links to the volume of gold bar formula)

We also know that the gold has a density of 19.3 g/cm^3

We know that the formula for density is: Density=mass/volume

Rearrange the formula for mass: mass=Density*Volume

Substitute the numbers: 720^3 g*19.3 g = 13986 g

Convert g into kg which you need to divide by 1000

13986/1000=13.986 KG

Hence, the mass of the gold bar is 13.986 KG or 13.99 KG (2 d.p)

I do hope this helps you out :)

Have a nice day!

your exact question is kind of difficult to understand, so maybe an example will explain what you're supposed to do? i'll work through the first problem on the worksheet.

suppose you have a tray of 652 brownies, and you have 5 friends that you want to feed without picking favorites. how many brownies can you dole out to each of your friends in equal amounts? how many will be left over for you to eat?

what you're doing here is finding a way to arrange the number 652 as the sum of integer multiple of 5 and some remainder:

here ("q" for quotient) is the number of brownies each of your friends get, and is the remainder. that's the basic idea behind division.

we break up the number 652 into parts so that the leading digit stands on its own:

652 = 600 + 52

first we check if it's possible to hand out exactly 100 brownies to each friend. with 5 friends, this means we want to know if we can take out 500 brownies from the tray. we can do this 1 time because we have 600 brownies to take from, and when we do that we're left with 100 + 52 brownies to divvy up. so we know that

652 = 1*500 + 152

next we want to know if it's possible to hand out exactly 10 brownies per friend. if we can, we have to remove 50 brownies from the tray each time until we can't. we have 152 brownies left, and we know that 3(50) = 150, so

152 = 3*50 + 2

now we have 2 brownies left in the tray. is it possible to hand 1 out to each of your 5 friends? no, you'd need a minimum of 5 brownies to do that. so the last 2 are yours.

putting everything together, we found that

652 = 1*500 + 3*50 + 2

and we can rearrange this to write

652 = 5*100 + 5*30 + 2

652 = 5(100 + 30) + 2

652 = 5*130 + 2

so and .

you might be more accustomed to the table depicting the algorithm. that's just a compact way of organizing what we've done above. you can consult the image i've attached below.

inverse property is the answer

step-by-step explanation: