Question

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?

Answer 1

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