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Kay [80]
3 years ago
5

The formula for the volume of a pyramid is V = 1/3 Bh, where B is the area of the base of the pyramid and h is the height of the

pyramid.
The figure below is made of two identical rectangular pyramid. What is the volume of the entire figure?

Mathematics
1 answer:
Anastaziya [24]3 years ago
5 0

Answer: 320 cubic inches

Step-by-step explanation:

V = \frac{1}{3}Bh

V = \frac{1}{3} ⋅ 48 ⋅ 20

V = \frac{1}{3} ⋅ 960

V = 320 in^3

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The volume of a cylinder is 12,566.4 cm3. The height of the cylinder is 8 cm.
scoundrel [369]
Using the formulas here: http://www.1728.org/diamform.htm

A)  Volume   =   <span>π <span>• r² • height
radius^2 = Volume / (PI*height)
</span></span><span>radius^2 = 12,566.4 / (PI * 8)
</span>radius^2 =  <span> <span> <span> 500.0011692175 </span> </span> </span>
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radius (rounded) = 22.4 cm

B) Area of base = PI * radius^2
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</span></span><span><span>Area of base (rounded) = </span> 1,570.8 square cm
</span> 
C) <span><span>lateral area = </span>2 • </span><span>π • r • height </span>
<span>lateral area = 2 • </span><span>π • 22.4 * 8
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D) Total Surface Area = </span><span>(2 • <span>π <span>• r²) + (2 • <span>π • r • height)</span></span></span></span>
Total Surface Area = <span><span>2 * (top AND bottom area which is the Part B answer times 2) + (the lateral area which is the Part C answer)
</span>
Total Surface Area = </span>( 2 * 1,570.8 ) + (1,125.9)
<span>Total Surface Area = 3,141.6 + 1,125.9
</span><span>Total Surface Area = </span> <span> <span> <span> 4,267.5 </span> </span> </span> square cm





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4 years ago
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