Can anyone explain these?

A rectangle has a perimeter of 36 in. The length and width are scaled by a factor 2.5. What is the perimeter of the resulting rectangle?


A triangle has an area of 36 cm². The base and height are scaled by a factor of 5.

What is the area of the resulting triangle?


Two similar solids have a scale factor of 5:3 . What is the ratio of their volumes, expressed in lowest terms?


A cylinder has a height of 30 ft and a volume of 63,679 ft³. What is the radius of the cylinder?


A brand new filled can of chicken broth is 10 cm tall and has a radius of 10 cm. Mishka uses some of the broth to cook and now the broth left in the can is 6 cm high. How much broth did Mishka use?

Verified Answer :

The perimeter , width and length are all one dimensional so the preimeter of the resulting rectangle  will be 2.5 36 = 90.

The area  is 2 dimensional  whereas the vase and height are one dimensional so the area will be increased by a factor of 5^2  ( or 25)
New  rea =  36
25 =  900

solids are 3 dimensional  so the ratio of thereir volumes is  5^3 : 3^3
= 125:27

to answer the last 2 use the formula Volume = pi r^2 h  where r = radius and h = height of a cylinder