![anissa760](/avatars/22872.jpg)
anissa760
16.07.2020 •
Mathematics
Does anyone mind explaining? I have been stuck on this for a while. The base of the pyramid is a regular hexagon. Find the volume of the pyramid. Round your answer to the nearest tenth.
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Ответ:
vol = 62 in³
Step-by-step explanation:
First determine r (see attached image) by using pythagorean theorem.
a² = b² + c²
a = 3 in
b = 3/2 = 1.5 in
c = r
3² = 1.5² + r²
r =![\sqrt{3^{2}-1.5^{2} }](/tpl/images/0707/6150/91937.png)
r = 2.598 in
Get the area = n/2 * a * r
n = number of sides = 6
r = 2.598 in
Area = 6/2 * 3 * 2.598
Area = 23.38 in²
get the volume = 1/3 * Area * h
Area = 23.38 in²
h = 8 in (as given)
vol = 1/3 * 23.38 * 8
vol = 62 in³
Ответ:
64 = 1 x 64, 2 x 32, 4 x 16, or 8 x 8.
Step-by-step explanation:
If a garden covers 64 square feet total, then you simply find the common factors of 64.
64: 1, 2, 4, 8, 16, 32, 64.
So, the possible dimensions are,
64 = 1 x 64, 2 x 32, 4 x 16, or 8 x 8.