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The dimensions of a cube are reduced by 5cm in each side and the new surface area becomes 48cm2.

Represent using quadratic equation ​


Sagot :

Answer:

Surface area is the total area of all sides of a three dimensional figure

Formula for surface area of a cube is 6s^2

Solving Dimension

Required two equation to solve two unknown variable (lenght and width) or one equation for a cube (s^2)

Apply your knowledge in algebra, finding unknown variable

Use the formula for surface area of a cube

Given:

A = 48 cm^2

original side is s - 5 cm

Solution:

A = 6s^2

48 = 6(s-5)^2

8 = (s-5)^2

Just use extracting square root to solve for s

8 = (s-5)^2

√8 = √(s-5)^2

√8 = s-5

s= 5 + √8

s= 5 + 2√2

s= 5 + 2.83

s= 7.83 cm

The side of original cube is 7.83 cm, and the new side of a cube is 2.83 cm.

Step-by-step explanation:

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