Which set of numbers are from least to greatest

Mathematics

1 answer:

olga nikolaevna [1]3 years ago

3 0

77/100, 81%, 0.84 because it equals 77% than 81% than 84%

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Pyramid A has height 5 1/2, and Pyramid B has height 2 3/4. A and B are similar. What is the ratio of their:

N76 [4]

Answer:

Lateral areas have ratio of 4:1

Volumes have ratio of 8:1

Step-by-step explanation:

There is a rule in 3D geometry that when two solids are similar, and their edges are in the ratio of $a:b$ , the ratio of any surface area type measure is always $a^2:b^2$ this includes the lateral area, which is just a surface area minus the base, which is not important for this problem. The ratio of volumes of those similar solids is in the ratio of $a^3:b^3\\$ .

Now, to solve this, we need to find the ratio of any corresponding length of these similar pyramids. We have both the heights, so if we form a ratio of $\frac{5\frac{1}{2} }{2\frac{3}{4} }$ which if you simplify it, it is $\frac{5.5}{2.75}$ , which is $2$ . The ratio of the heights are $2:1$ .

Now we can apply those rules to this ratio, the ratio of lateral areas would then be $2^2:1^2$ , which is $4:1$ . the ratio of volumes would be $2^3:1^3$ , which is $8:1$