Answer:
Volume of the frustum = 225.0952
Surface area = 274
Step-by-step explanation:
The volume can be calculated as the difference of the complete pyramid and the tip of the pyramid.
To find the height of the frustum, we can use pythagoras theorem in the following triangle:
first side: 9 - 5 = 4
second side h (height)
hypotenusa: slang = 6
6^2 = h^2 + 4^2
h^2 = 36 - 16 = 20
h = 4.4721
To find the height of the complete pyramid (H), we can use the following rule of three:
H / 9 = (H - 4.4721) / 5
5H = 9H - 40.2489
4H = 40.2489
H = 10.0622
Volume of complete pyramid:
V_complete = (1/3)*9^2*10.0622 = 271.6794
Volume of the tip:
V_tip = (1/3)*5^2*(10.0622 - 4.4721) = 46.5842
Volume of the frustum:
V_frustum = V_complete - V_tip = 225.0952
The surface area is the bigger base area + smaller base area + four side areas.
Bigger base area = 9^2 = 81
Smaller base area = 5^2 = 25
Side area = (9+5)*6/2 = 42
Total surface area: 81 + 25 + 4*42 = 274
Ok
it might be easier to conver from yards to inches then flip it
1cubic yard=1yard times 1yard times 1yard
1yard=36 inches
1 cubic yard=36 inches times 36 inches times 36 inches
1 cubic yard=46656 cubic inches
divide both sides by 46656
1 cubic inch=1/46656 cubic yards
Answer:
Option 1 is correct.
Step-by-step explanation:
We have to select the option which is not the condition of a Tessellation.
A tessellation is a regular pattern made up of shapes that perfectly fit together or we can say it is an arrangement of shapes closely fitted together, especially of polygons in repeated pattern with no overlaps and no gaps.
A tessellation use repeated shapes to completely cover a plane with no overlaps or gaps.
Daily life examples of tessellation are honey combs, to man-made objects, like architecture and quilts.
A tessellation can use one or more geometric shapes. Hence, from the given options only the first option is not a condition for tessellation.
Well, to figure this out, you would have to divide 28 by 4, since there are four sections. That is 7. 7 divided by 2 is 3.5, so you would have completed 3.5 feet of the fence.
<span>If 20 pounds is 9 kilograms, then 30 pounds is equal to 30/20*9 kilograms, or 13.5 kilograms.</span>