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

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step-by-step explanation: