Asked by anonymous
                A rectangular prism has a width of 92 ft and a volume of 240 ft3. Find the volume of a similar prism with a width of 23 ft.
Round to the nearest tenth, if necessary.
3.8 ft3
60 ft3
15 ft3
10.4 ft3
A pyramid has a height of 5 in. and a surface area of 90 in2. Find the surface area of a similar
pyramid with a height of 10 in. Round to the nearest tenth, if necessary.
360 in.2
180 in.2
22.5 in.2
3.6 in.2
            
        Round to the nearest tenth, if necessary.
3.8 ft3
60 ft3
15 ft3
10.4 ft3
A pyramid has a height of 5 in. and a surface area of 90 in2. Find the surface area of a similar
pyramid with a height of 10 in. Round to the nearest tenth, if necessary.
360 in.2
180 in.2
22.5 in.2
3.6 in.2
Answers
                    Answered by
            anonymous
            
    any1?
    
                    Answered by
            Reiny
            
    volume of 2 similar solids is proportional to the cube of their corresponding sides, so
x/240 = 23^3/92^3 = (23/92)^3 = (1/4)^3 = 1/64
64x = 240
x = 3.75
the new volume is 3.75 ft^3
If I told you that the surface area of 2 similar solids is proportional to the square of their corresponding sides, can you set it up like I just did ?
let me know what you got.
    
x/240 = 23^3/92^3 = (23/92)^3 = (1/4)^3 = 1/64
64x = 240
x = 3.75
the new volume is 3.75 ft^3
If I told you that the surface area of 2 similar solids is proportional to the square of their corresponding sides, can you set it up like I just did ?
let me know what you got.
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