Convert 4B from hexadecimal to decimal.

An open rectangular box with volume 2m^3 has a square base. Express the surface area of the box as a functi...? An open rectangu

MA_775_DIABLO [31]

The volume of any prism is equal to the area of the base times its vertical height. Since the area of the rectangular prism is a square, the volume is expressed as:

V = s²h

The surface area is equal to the total areas of the faces of the planes. This includes the two bases on top and on the bottom, and the 4 rectangular lateral faces. The rectangular lateral face has an area of its length equal to height h multiplied with the width equal to the side of the square base. So, the surface area is expressed as:

SA = 2s² + 4sh

The first time is twice the area of the base, and the second term is four times the area of the lateral face. So, we want to express the surface area only in terms of s. Therefore, let's substitute an expression in terms of s to the h term above. Let's use the given volume equal to 2 cm³.

V = s²h = 2
Express in terms of s:
h = 2/s²

Then, let's substitute this to the equation for SA:

SA = 2s² + 4s(2/s²)
SA = 2s² + 8/s

5 0

3 years ago

Hii, so this was one of the questions on a previous CSAT exam (korean sat). I was curious and decided to look at a few questions

dimulka [17.4K]

Answer:

Step-by-step explanation:

Well you can calculate the area of the base side by the integration of cos - sin x over the limits x = 0 and x = π/6.

Then I think one side of the square would be cos π/6 - sin π/6.

So I think the required volume can be worked out as area of base * length of a side of the square.

I think that,s the way to do it, if i have interpreted the question correctly.

4 0

3 years ago