Question

The volumes of two similar solids are 1408 m3 and 594 m3. The surface are of the smaller solid is 549 m2. What is the surface area of the larger solid?

Answer 1

The surface area of the larger solid is approximately 971.13 m².

What is scale factor?

A scale factor is the ratio of the corresponding sides of two similar objects.

Let's find the scale factor as follows:

z = scale factor

x = the volume of the larger solid

y = the volume of the smaller solid

Therefore,

z³ = x / y

z³ = 1408 / 594

z = ∛1408 / 594

z = 11.2081573 / 8.40611799

z = 1.33

Therefore,

let's find the surface area of the larger solid.

The scale factor squared is equal to the surface area of the larger solid divided by the surface area of the smaller solid. Therefore,

z² = larger solid / 549

surface area of the larger solid =  1.33² × 549

surface area of the larger solid = 1.7689 × 549

surface area of the larger solid = 971.1261

surface area of the larger solid = 971.13 m²

learn more on similar solids here: https://brainly.com/question/2254019