172,599 views
2 votes
2 votes
Marcus wants to decorate his box that is in the shape of a cube. He decides to cover theentire box with red colored paper except the circle with his name on it. The box is shownbelow. Rounded to the nearest square centimeter, how much red paper is needed to cover Marcus'sbox?

Marcus wants to decorate his box that is in the shape of a cube. He decides to cover-example-1
User EliadL
by
2.6k points

1 Answer

21 votes
21 votes

Answer: C. 130

Step-by-step explanation:

Area of red paper needed to cover Marcus's box =Surface area of cube - area of circle

The formula for calculating the surface area of a cube is expressed as

Surface area = 6a^2

where

a is the length of each side

From the information given,

a = 5

Thus,

Surface area= 6 x r5^2 = 150

The formula for calculating the area of a circle is expressed as

Area = πr^2

where

r is the radus of the circle

π is a constant whose value is 3.14

From the information given

diameter of circle = 5

radius = diameter/2 = 5/2

r = 2.5

Thus,

area of circle = 3.14 x 2.5^2 = 19.625

Area of red paper needed to cover Marcus's box = 150 - 19.625

Area of red paper needed to cover Marcus's box = 130.375

Rounding to the nearest square centimeter,

Area of red paper needed to cover Marcus's box = 130

User Giulio Franco
by
2.9k points