Question

CC It takes 2 ounces of paint to completely cover all 6 sides of a rectangular prism box which hold 15 cups of sugar. Double the dimensions of the box. Apparently how much paint would the new box need? How much sugar would it hold?

Answer 1

The paint and cups of sugar are 8 and 120.

Ratio and proportion

A ratio is an ordered pair of numbers a and b, written as a/b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other.

Given

CC It takes 2 ounces of paint to completely cover all 6 sides of a rectangular prism box which holds 15 cups of sugar.

how much paint would the new box need?

Let the dimension be a.

Double the dimensions of the box then dimensions are 2a

The ratio of paint and the area of the box remains constant.

$\rm \dfrac{paint }{area} = \dfrac{2}{x} = \dfrac{6a^2}{6(2a)^2}$

then x is 8 ounces.

How much sugar would it hold?

The ratio of sugar and the volume of the box remains constant.

$\rm \dfrac{sugar }{volume} = \dfrac{15}{x} = \dfrac{a^3}{(2a)^3}$

Then x is 120

Thus the paint and cups of sugar are 8 and 120.

More about the ratio and proportion link is given below.

https://brainly.com/question/165414