Answer:
The dimension of the cardboard is 34 cm by 34 cm by 17 cm.
Step-by-step explanation:
Let the dimension of the cardboard box be x cm by y cm by z cm.
The surface area of the cardboard box without lid is
f(x,y,z)= xy+2xz+2yz.....(1)
Given that the volume of the cardboard is 19,652 cm³.
Therefore xyz =19,652
......(2)
putting the value of z in the equation (1)


The partial derivatives are


To find the dimension of the box set the partial derivatives
and
.Therefore 
.......(3)
and 
.......(4)
Now putting the x in equation (3)



⇒y=34 cm
Then
=34 cm.
Putting the value of x and y in the equation (2)

=17 cm.
The dimension of the cardboard is 34 cm by 34 cm by 17 cm.
Answer:
Step-by-step explanation:
first you solve what's in the parenthesis 10^6=1000000
1000000 * 5 = 5000000
10^8=100000000
times by 3
=300000000
answer is
1500000000000000
Answer: 100
<u>Step-by-step explanation:</u>
[(25 - 11) + (15 - 9)] * 5
=[ 14 + 6 ] * 5
= 20 * 5
= 100