Solve similar triangles (advanced)
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- The ratio of the heights of the pyramid given at the end of the answer is of: 1:3.
- The ratio of the surface areas of the pyramid given at the end of the answer is of: 1:9.
- The ratio of the volumes of the pyramid given at the end of the answer is of: 1:27.
The first step in obtaining the ratios is finding the ratio of the heights, which is given as follows:
5:15 = 1:3.
The heights are measured in units, while the surface area is measured in units squared, hence the ratio is squared, as follows:
(1:3)² = 1:9.
The volume is measured in cubic units, hence the ratio is cubed, as follows:
(1:3)³ = 1:27.
<h3>Missing Information</h3>The pyramid is given at the end of the answer.
For different dimensions, the procedure of taking the ratio of the heights, then the surface area is squared and the volume is cubed remains.
More can be learned about ratios of area and volume at brainly.com/question/15990299
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For this case we have to:
Where:
a: It's the Dividend
b: It is the Divider
c: Is the Quotient
Thus, the expression "the quotient of 5 and x" can be represented as:
Where "y" is the quotient of 5 and x.
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