i) 4 squares that both a length and width of 1m
- the area of each is 1m x 1m = 1 meter squared. Since we have 4, this is 4 squared meters
-1 meter squared = 10.7639 ft squared, thus we multiply the 4 by 10.7639 in order to determine the feet squared.
10.7639 ft squared/ meter squared * 4 meter squared = 43.0556 ft squared
ii) 2 rectangles that have a length of 3ft and a width of 1m
We convert the 1 meter to 3.2808399 feet, which becomes the new width.
We multiply this by the length of 3ft
3ft * 3.2808399 feet = 9.8425197 feet squared
Since we have two of these rectangles, we multiply this by 2 and get 19.6850394 ft squared
iii) 2 other rectangles that have a length of 2 ft and a width of 1m
We convert the 1m to 3.2808399 feet and multiply this be the length of 2ft.
2ft * 3.2808399 feet = 6.5604798 ft squared
Since there are 2 rectangles, we multiply this by 2 to get the are of both
2 * 6.5604798 ft squared = 13.1209596 ft squared
we add all three of the areas and get the total:
19.6850394 ft squared + 13.1209596 ft squared + 43.0556 ft squared = 75.861599 ft squared
b) If the concrete is 25 cm thick, how many cubic yards of concrete is needed?
25cm is 0.82021 ft. We find the volume by multiplying the surface area that we found in part a) by this width in feet.
75.861599 ft squared * 0.82021 ft = 62.22244212 ft cubed
There are 27 feet cubed in one yard cubed, thus we divide our answer by 27.
62.22244212 / 27 = 2.30453 yard cubed