PLEASE HELP!! Pyramid A is a square pyramid with a base side length of 12 inches and a height of 8 inches. Pyramid B is a square pyramid with a base side length of 48 inches and a height of 32 inches. How many times bigger is the volume of pyramid B than pyramid A?

Respuesta :

Answer:
27 times

Explanation:
The formula of a volume of a pyramid
V = 1/3 BH

B - Base area
H - Height

We have two square pyramids.
The bases are squares the formula of an area of a square sided s:
A = 8 to the second power squared

Pyramid A:
S = 12in, H = 8in
Ba = 12 to the second power squared =
144 in2 squares

Va = 1/3(144)(8) = 384in 3rd power squared

Pyramid 3:

S = 36in, H =24in
Bb = 1/3(1296)(24) = 10368in3 power squared

Calculate the quotient:
Vb 10368
—— = ——— = 27
Va 384

The answer is 27 I believe.


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