The volumes of two similar solids are 8 ft3 and 125 ft3. the surface area of the smaller solid is 4 ft2. what is the surface area of the larger solid?

25 square feet

Step-by-step explanation:

We are given that

Volume of smaller solid= 8 cubic feet

Volume of large solid=125 cubic feet

Surface area of smaller solid=4 square feet

We have to find the surface area of larger solid.

Volume of is a cubic function

Ratio of two solids=6:125

Where a= Side of small solid

b=Side of large solid

Ratio of corresponding sides of two solids=2:5

When two solids are similar then the ratio of surface area

Area of small solid: area of larger solid=

4: area of large solid=4: 25

Area of larger solid=

Hence, the area of larger solid=25 square feet

answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,