Question

)The total surface area of a cube is 150cm³. The area of the vertical faces of this cube is​

Answer 1

Answer:

100

Step-by-step explanation:

total surface area of a cube is 6×a×a

area of the vertical faces of cube is 4×a×a

given 6×a×a = 150

a×a = 150÷6=25

a×a=a^2=25

a= √25=5

area of vertical faces of the cube is 4×a×a

= 4×5×5=100

Answer 2

Step-by-step explanation:

Given that

Total surface area of cube is 150 cu cm

To find

Area of vertical faces

Solution

$area \: of \: vertical \: faces = 4 \times {a}^{2}$

as a is the side of cube

$total \: surface \: area = 6 \times {a}^{2} \\ 150 = 6 {a}^{2} \\ {a}^{2} = 25 \\ a = 5cm$

hence

$area \: of \: vertical \: faces = 4 \times {5}^{2} \\ = 4 \times 25 \\ = 100 {cm}^{2}$

area of vertical faces of cube is 100cm sq.