Respuesta :
The volume of the smaller solid is 507 yd².
What is Surface Area ?
The amount of space that covers the outside of a three-dimensional form is called surface area.
It is given that the surface area of two similar solids are 416 sq.yard and 1354 sq.yard
The surface area of similar objects are proportional to the square of their sides
416/1354 = x²/y²
and the volumes of similar objects are proportional to the cubes of their corresponding sides
416/1354 = x²/y²
x²/y² = 208/677
x/y = √108/√677
x³/y³ = volume/2976
(√208)³ / (√677)³ = volume/2976
volume = 507 yd²
Therefore the volume of the smaller solid is 507 yd².
To know more about Surface area
https://brainly.com/question/2835293?referrer=searchResults
#SPJ2
