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The height of larger pyramid is 12 m.

The height of smaller pyramid is 6 m.

The volume of larger pyramid is 400 m³.

(a)

Find the scale factor of the smaller pyramid to the larger pyramid.

In two similar geometric figures, the ratio of their corresponding sides is called the scale factor.

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Scale factor of the smaller pyramid to the larger pyramid $\"\"$

(2b)

Find the ratios of the areas of the bases of the smaller pyramid to the larger pyramid.

Area of the base of square pyramid is $\"\"$ .

Where s is the side length of base.

Height of the pyramid is $\"\"$ .

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Ratios of the areas of the bases of the smaller pyramid to the larger pyramid $\"\"$

(2c)

Find the volume of the smaller pyramid to the larger pyramid.

Volume of square pyramid is $\"\"$ , where s is the side length of base and h is the height of pyramid.

Height of the pyramid is $\"\"$ .

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Ratios of the volume of the smaller pyramid to the larger pyramid $\"\"$

(2d)

The volume of larger pyramid is 400 m³.

From part (2c):

Ratios of the volume of the smaller pyramid to the larger pyramid $\"\"$

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Volume of the larger pyramid is $\"\"$