27 авг. 2015 г. · Total surface area = 2 * (length * width + width * height + length * height). Lateral surface area = 2 * (width + length) * height. Continue ...

25 июн. 2021 г. · The difference is found by looking at the slope before and after the critical points. If the slope is neg to the left and positive to the right ...

15 мар. 2021 г. · So, the derivative of the volume has to be proportional to the surface area. Say you move the surface outward a distance dx. Each little surface ...

6 мая 2016 г. · The volume is the integral of the surface area with respect to the radius. By the FTOC, the Surface Area is the derivative of the Volume.

10 янв. 2022 г. · SURFACE AREA OF A SPHERE Consider a spherical surface of radius R. Fit it snugly into a cylindrical sheet of the same radius R. Take the ...

25 авг. 2017 г. · When you take the area of a side of a square and multiply by height you get the following: · area x height = (s²) x s =s³ - which is the volume ...

10 окт. 2016 г. · In a closed rectangular box with square ends, the total surface area is 216cm^2. What are the dimensions that will give the greatest volume?

26 апр. 2020 г. · The surface area is A=xy+2xz+2yz = x y + 2 x z + 2 y z (since the box is open the top is missing so only one xy x y term). The volume is V=xy ...

27 июн. 2020 г. · We can write y=Vxz y = V x z , which gives us a surface area equal to 2(Vz+Vx+xz) 2 ( V z + V x + x z ) . Taking the derivative with respect to ...

15 авг. 2015 г. · V = L*W*H where L, W, H are the length, width, and height of the box. To minimize the surface area we set the partial derivatives dS/dx, dS/dy ...