Question

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Answer 1

Answer:

A) 3;  B) 1116 m²; C) 24 m³; D) 1/27

Step-by-step explanation:

A) Scale factor

The scale factor is the ratio of the heights of the two pyramids.

h₂/h₁ = 24/8 = 3

B) Surface area

The ratio of the surface areas is the square of the scale factor.

A₂/A₁ = 3²

A₂/124 = 9

A₂ = 124 × 9 = 1116 m²

The volume of the larger pyramid is 1116 m².

C) Volume

The ratio of the volumes is the cube of the scale factor.

V₂/V₁ = 3³

648/V₁ = 27

648 = 27V₁

V₁ = 648/27 = 24 m³

The volume of the smaller pyramid is 24 m³.

D) Volume ratio

V₁/V₂ = 24/648 = 1/27

The volume ratio is 1/27.