Question

Complete the statements about these similar pyramids.

Answer 1

A ratio shows us the number of times a number contains another number. The ratio of the sides, base area, and volume are equal to 3:1, 9:1, and 27:1, respectively.

What is a Ratio?

A ratio shows us the number of times a number contains another number.

Given the two lateral sides of the pyramids, therefore, the ratio of the sides of the pyramid can be written as,

Length of pyramid A: Length of pyramid B = 15:5 = 3:1

Let the length of the base of the pyramid is represented by a.

The ratio of the base area can be written as,

Area of Base of A: Area of base of B = (3a)²:a² = 9:1

The ratio of the volume can be written as,

Volume of A: Volume of B = (3l×3b×3h)/3 : (lbh)/3 = 27:1

Hence, the ratio of the sides, base area, and volume are equal to 3:1, 9:1, and 27:1, respectively.

Learn more about Ratios:

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