two similar containers have base areas 26cm² and 324cm² respectively. Calculate the capacity of the larger container correct to

Question

3 years ago

6

one decimal place if the capacity of the smaller one is 8cm²

2 answers:

katovenus [111] · Answer 1 · 2022-03-01T16:21:57+03:00

6 0

The Correct Answer Is 351.9 cm^3

Setler79 [48] · Answer 2 · 2022-03-01T13:58:49+03:00

Answer:

351.9 cm³

Step-by-step explanation:

The ratio of the areas of two similar solids is equal to the square of the ratio of the lengths.

A₂ / A₁ = (s₂ / s₁)²

The ratio of the volumes of two similar solids is equal to the cube of the ratio of the lengths.

V₂ / V₁ = (s₂ / s₁)³

Therefore, we can say:

V₂ / V₁ = (A₂ / A₁)^(3/2)

Plugging in values:

V / 8 cm³ = (324 cm² / 26 cm²)^(3/2)

V = 351.9 cm³