Two square pyramids are similar. If the ratio of a pair of corresponding edges is a : b, what is the ratio of their volumes? What is the ratio of their surface areas?

Ratio of their volumes = a³ : b³

Ratio of their surface areas =

Step-by-step explanation:

Two square pyramids are similar with their edges are in the ratio of a : b.

Volume of a square pyramid with edge and h = a  is given by the formula,

= =

Volume of a square pyramid with edge b  and h = b is given by the formula,

= =

Ratio of their volumes = a³ : b³ since h/3 gets cancelled.

Total surface area of square pyramid with the edge a =

Total surface area of square pyramid with the edge b =

Ratio of the surface area =

answer: r there any options?

step-by-step explanation:

hello,

b) 62.47% of the students are between 14 and 18 years old.

step-by-step explanation:

mean = 15 and standard deviation = 2

student between 14 to 18

formula used z-score

for age 14 , z score

using z-table , p(z> -0.5)=0.3085

for age 18 , z score

using z-table , p(z< 1.5)=0.9332

p(-0.5< z< 1.5)=0.9332-0.3085 = 0.6247

thus, 62.47% of the students are between 14 and 18 years old.

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