Larger PyramidHeight 24 Volume 648
Pyramid Volume = (Area of the Base * Height) ÷ 3648 = Base Area * 24 / 3Base Area = 648 * 3 / 24Base Area = 648 / 8Base Area = 81Base Length = 9
a) The Scale Factor between the Small & Large PyramidLength - 3LATERAL Area - 9Volume - 27
Slant Height^2 = 4.5^2 + 24^2Slant Height^2 =
<span>
<span>
596.25
</span>
</span>
<span><span>Slant Height^2 = 24.4182308941
</span>
</span>
b)
Large Pyramid Area = (½ * Perimeter of Base * Slant Height) + Base AreaLarge Pyramid Area = (.5 * 36 * <span>24.4182308941) + 81
</span>Large Pyramid Area = 439.5281560938 + 81
Large Pyramid TOTAL Area =
<span>
<span>
520.5281560938
</span>
</span>
<span>Large Pyramid LATERAL Area =<span> 439.5281560938
</span>
</span>
**********************************************************************************c)
Smaller PyramidHeight 8Surface Area = 124
This pyramid has dimensions that are one third of the larger pyramid.Therefore, it has a base length of 3.Base Area = 9.
Its base perimeter would be 12.
Small Pyramid Volume = (Area of the Base * Height) ÷ 3Small Pyramid Volume = ( 9 * 8 ) / 3Small Pyramid Volume = 72 / 3
c) Small Pyramid Volume =24 cubic meters
d) Ratio of larger pyramid volume to smaller pyramid volume648 / 24 = 27The reason? Volume is a 3 dimensional quantity. The Larger pyramid is 3 times larger in terms of the base measurement.9 meters vs 3 meters - a factor of 3When we compare volumes, we have to cube this factor.3^3 = 27
Source : http://www.1728.org/volpyrmd.htm
Answer:
144 un^2
Step-by-step explanation:
Base: 4 × 11 = 44
Left-most face: 3 × 11 = 33
Top face: 5 × 11 = 55
Triangular faces: 3 × 4 = 12
Add: 44 + 33 + 55 + 12 = 144
Answer:
72.9
Step-by-step explanation:
10% off 75 gets you to 67.5
8% more than 67.5 is 72.9
Answer:
y=-6/5x - 1
Step-by-step explanation:
Slope intercept form is y=mx+b so first lets get it into correct order by subtracting the 6x to the other side.
6x-6x+5y=-5-6x
This gives you
5y=-6x-5
Now you need to isolate the y since the 5 is being multiplied by the variable "y" we need to divide to to separate. Divide all terms by 5.
5y/5=-6/5x+(-5)/5
This gives you your final answer:
y=-6/5x - 1
Answer:
23 and 14
Step-by-step explanation:
