The linear scale factor of two similar solids is given. Then the surface area and volume of the smaller figure are also given. Find the surface area and volume of the large figure. Scale factor: 2:5

Surface area: 80

volume: 352

Surface area: ?

volume: ?

Surface area: 500

Volume: 5500

Step-by-step explanation:

Scale factor: 2:5

This means that the dimensions of the larger figure are 5/2 of those in the smaller figure.

Surface area:

The surface area is found multiplying the square of the change(5/2) by the original surface area(80). So

Volume:

The volume is found multiplying the cube of the change(5/2) by the original volume(352). So

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step-by-step explanation:

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .