Answer:
The dimensions of the box are 12 cm , 12 cm , 12 cm
Step-by-step explanation:
Let x , y and z be the dimensions of box
Volume of box =xyz=1728

Surface area of box = 
Let 
To get minimal surface area
and 


----1


Using 1

x=0 and 
Side can never be 0
So,
x=12

y=12

z=12
The dimensions of the box are 12 cm , 12 cm , 12 cm
Answer:
<h2>
17.6ft²</h2>
Step-by-step explanation:
The formula for calculating the surface area of a triangular prism is expressed as shown below:
SA= bh + pH
b= base of the triangle
h- height of the triangle
p= perimeter of the triangle
H= height of the prism
Given b = 1foot
h = 2feet
perimeter of the triangle = sum of all its sides = 1ft + 2ft + 2.2ft
p = 5.2ft
H = 3ft
Substituting the values into the formula for finding the surface area:
SA = 1(2)+5.2(3)
SA = 2+15.6
SA = 17.6ft²
The surface area of the triangular prism is 17.6ft²