I really need with these questions please!?

Question

Ive tried my best to answer these two questions but i just cant get them.

Can anyone answer them for me

Question 1.

A. How many square meters are contained in one square foot? show the calculations that lead to your result.

B.How many square feet are contained in one square meter? Show the calculations that lead to your result.

C. Draw a picture on a standard size sheet of paper that accurately represents the difference in size between one square foot and one square meter. How do i do that?

Question 2.

Gold has a density of 19.32 grams per cubic centimeter.

A. If you have what you think is a ring of pure gold, and it has a volume of 3 cubic centimeters how much mass should it have?

B. If you have what you think is a ring of pure gold and it has a mass of 8 grams, what should its volume be?

C. 18 karat gold means that the gold is mixed with other alloys. (18 karate gold is 75% gold and 25% other alloys. If a piece of jewelry was made 14 karate gold, what percent of it is gold.

D. Suppose a 9 karate gold ring was made with gold and silver. Silver has a density of 10.49 gram per cubic centimeter. How much mass should the ring have if it has the volume of 4 cubic cm.

Pleaseee help me thanks

Answer 1

1) first we need to know the number of feet in a meter (3.281 rounded).

A) one square meter covers 3.281 x 3.281 = 10.765 square feet. so the number of square meters in one square foot is 1/10.765 = 0.091

B) the number of square feet in a square meter is 3.281 x 3.281 = 10.765

C) need to divide these numbers by the same number to hold the ratios in tact when drawing the picture

2)

A) if gold has 19.32 grams in one cubic meter then 3 cubic meters has 3 times that amount. 3 x 19.32 = 57.96 grams

B) if a ring has a mass of 8 grams then we divide 8/19.32 = 0.4141 cubic meters of volume

C) if 18 karat gold is 75% gold then 1 karat is 75/18 = 4.167% gold. and if 1 karat is 4.167% then 14 karat is 14 * 4.167 = 58.338% gold

D) 9 karat gold is 9 * 4.167 = 37.503% gold. that means that the rest of the ring (100 - 37.503 = 62.497%) is silver. if the volume of the ring is 4 cubic cm then 37.503% of that is gold (37.503% * 4 = 1.5). and that much gold weighs 1.5 * 19.32 = 28.98 grams. the other 3.5 cubic cm is silver and that much silver weighs 10.49 * 3.5 = 36.715 grams.

so in total, the ring weighs 36.715 grams (silver) plus 28.98 grams (gold) = 65.695 grams in total.

PLEASE BEAR IN MIND THAT ALL THESE NUMBERS WERE ROUNDED.

Answer 2

Question 1:  

First find out how to convert one foot is to one meter, and one meter to one foot.

1 foot = 0.3048 meters

1 meter = 3.2808399 feet

When you square, you multiply it by itself.

For a rough estimate you can see that 1 foot approximately 1/3 of a meter, and 1 meter is approximately 3 feet.  You actual answers should be close to that.

Here is how to set them up.  Do them math to complete

A. How many square meters are contained in one square foot? show the calculations that lead to your result.  (1 foot)^2 = (0.3048 meters)^2

B. How many square feet are contained in one square meter? Show the calculations that lead to your result. (1 meter)^2 = (3.2808399 feet)^2

C. Using a ratio of 1 foot = 1 inch. Draw a box 3.28 inches and  one that is one inch. Or draw a box that is 10 cm and one that is 3 cm

Question 2:

Gold has a density of 19.32 grams per cubic centimeter.

A. Volume * (weight/volume) = weight  

3 cm^2 * (19.32 g/cm^2) =  _________g

B. Weight / (weight/volume) = Volume

8 grams / (19.32 g/cm^2) = _________cm^2

C. (14 karat/18 karat) * (75%) =________%

D. Gets Tricky.  First find the density of the alloy.  Assuming 24 karats =100%

Then calculate the mass of the ring.

a.) Alloy = 9 karats Gold + 15 karats Silver = [(9/24)* (19.32 g/cm^2)+ (15/24)* (10.49 g/cm^2)] =_________ g/cm^2_

b.) How much mass should the ring have if it has the volume of 4 cubic cm.

Volume * (weight/volume) = weight  

4 cm^2 * (alloys g/cm^2) =  _________g