Question

The two containers are mathematically similar in shape. The larger container has a volume of 3456 cu cm and a surface area of 1024 sq cm. The smaller container has a volume of 1458 cu cm, calculate the surface area of the smaller container.

Answer 1

Answer:

Step-by-step explanation:

1458/3456 = 27/64 (simplification)

cube root of 27/64 = 3/4

square of 3/4 = 9/16

9/16 multplied by 1024 = 576.

THIS IS THE REAL WORKING AND ANSWER

Answer 2

Answer:

Definition:

Volume:

              The amount of space a three-dimensional object takes up, expressed in cubic units.

Surface area:                  

              A three-dimensional shape's total surface area equals the sum of its side's surface areas.

Step-by-step explanation:

Given:

         volume(v1)= 3456 cu cm

         Surface area(s1)= 1024sq.cm

         volume(v2)=  1458 cu cm

         Surface area(s2)= ?

Find:

        To find the surface area of the smaller container.

Solution:

              Ratio of the volume= $\frac{v2}{v1}$

                                               =3456/1458                                

                                               =64/27

Volume is the cube of the ratio

then Surface area is the square of the ratio      

Hence the Volume of the ratio is 4/3

Then the surface area of the ratio is 16/9

                                           ∴  16/9 =1024/x  

so, the surface area of the smaller container is 576  

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