Select the correct answer from each drop-down menu. Complete the statements about these similar pyramids. Two square pyramids A and B. Pyramid A vertices are labeled EFGHI. Pyramid B vertices are labeled WXYZV. The side edge of the triangular face of pyramid A is labeled 15 meters and the side edge of the triangular face of pyramid B is labeled 5 meters. The ratio of the heights is . The ratio of the base areas is . The ratio of the volumes is .

Question

21-06-2022
Mathematics

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Select the correct answer from each drop-down menu. Complete the statements about these similar pyramids. Two square pyramids A and B. Pyramid A vertices are labeled EFGHI. Pyramid B vertices are labeled WXYZV. The side edge of the triangular face of pyramid A is labeled 15 meters and the side edge of the triangular face of pyramid B is labeled 5 meters. The ratio of the heights is . The ratio of the base areas is . The ratio of the volumes is .

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Lanuel Lanuel · Answer 1 · 2022-06-22T20:25:34+02:00

The ratio of the heights of these pyramids is 3 : 1, the ratio of the base areas is 9 : 1 and the ratio of the volumes is 27 : 1.

What is ratio?

Ratio can be defined as a mathematical expression which denotes the proportion of two (2) or more physical quantities to one another and the total quantities.

The ratio of the heights of these pyramids is given by:

Ratio = Height of pyramid A : Height of pyramid B

Ratio = (3V/lw) : (V/lw)

Ratio = 3 : 1.

The ratio of the base areas of these pyramids is given by:

Ratio = Base area of pyramid A : Base area of pyramid B

Ratio = (3a)² : a²

Ratio = 9a : a

Ratio = 9 : 1.

The ratio of the volumes of these pyramids is given by:

Ratio = Volume of pyramid A : Volume of pyramid B

Ratio = (3l × 3w × 3h)/3 : (l × w × h)/3

Ratio = 27 : 1.

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