Hugo is making a metal box as part of a sculpture. He wants to know how much metal is needed to make a box with the dimensions shown.

What is the surface area of the box?

O A. 21 square centimeters

B. 30 square centimeters

C. 18 square centimeters

O D. 42 square centimeters

We can split the solid into 6 rectangles

Rectangle1 with sides (2cm, 3cm)

Rectangle2 (square) with sides (3cm, 3cm)

Rectangle3 with sides (2cm, 3cm)

Rectangle4(square) with sides (3cm, 3cm)

Rectangle5 with sides (2cm, 3cm)

Rectangle6 with sides (2cm, 3cm)

Area of rectangle = Length x Breadth

The total surface area = 6 + 9 + 6 +9 + 6 +6 = 42 square centimeters

option D

the correct functions are

h(x) = 3x + 2  

g(x) = 2^x

step-by-step explanation:

i proceed to calculate the different values ​​of k (x)

case 1)  k(x) = g(x) ∘ h(x)

g(x) ∘ h(x)=g(h(x))

k(x) = [2]^[3x + > is the option  4. k(x) = 2^(3x + 2 )

case 2)  k(x) = g(x) + h(x)

k(x) = [2^x]+[3x + 2]=2^x+3x+> is the option  1.) k(x) = 2^x + 3x + 2

case 3)k(x) = h(x) ÷ g(x)

k(x) =  [3x + 2]/[2^x]=3x/(2^x)+2/(2^x)=3x*(2^-x)+2^(1-x)

is the option  3.)   k(x) = (3x)2^(-x) + 2^(-x + 1 )

case 4)k(x) = g(x) - h(x)

k(x) =  [2^x]-[3x + 2]=2^x-3x-> is the option  2.) k(x) = 2^x - 3x - 2 

case 5)  k(x) = g(x) × h(x)

k(x) = [2^x]*[3x + > is the option  5.) k(x) = 2^x(3x + 2)

case 6)k(x) = h(x) ∘ g(x)

h(x) ∘ g(x)=h(g(x))

k(x)=3*[2^x]+> is the option  6. k(x) = 3(2^x) +2

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