 Hello and welcome to the session. In this session we will discuss the question which says that Jenny wants to decorate her jewelry box made up of a square prism mounted by a regular square pyramid to match it with the color of her dressing room. For this she wants to paint it with golden from outside, find the heady of the box that she has to paint. And here the width and height of the prism is 5 inches and the slant height of the pyramid mounted over the prism is 7 inches. Now before starting the solution of this question we should know some results. So that is, a composite solid is a figure that is made up of more than one solid than even half such a solid which is a combination of two or more three dimensional figures is calculated by finding the sum of the surface areas to combine solid. Now this result will work out as a key idea for solving out the given question. Now let us start with the solution of the given question. Now in the question it is given that Jenny wants to decorate her jewelry box made up of a square prism mounted by a regular square pyramid to match it with the color of her dressing room. For this she wants to paint it with golden from outside and we have to find the area of the box that she has to paint. Now Jenny wants to paint a jewelry box which is a combination jewelry box which is made up of a square prism mounted by a regular square pyramid. Now Jenny has to paint all the visible surfaces of the box. Now to find the surface area of the box the surface area of both the solids. Now given of the prism is equal to the base of pyramid 5 inches also. It is given that height of the pyramid is equal to 7 inches. Now surface area of a rectangular prism of all its faces along the rectangular prism are squares since the width and height are same that is 5 inches its faces is equal to sum of the areas of the base that is the face A B C D. This is not included in the area that Jenny has to paint is equal to side into side is equal to that is 25 square inches area of the pyramid is equal to of the pyramid are the triangles joined at the apex. Now also you can see that the face A B C D that is the base of the square pyramid is not included in the area that Jenny has to paint puts neutral faces. Four neutral faces are equal to the area is B into the height and number one are using the result which is given the key idea the required area of the box that Jenny has to paint is equal to plus area of this prism. Now from equation number one is equal to 625 square inches equation number two we have which is equal to 70 square inches. The required area she wants to paint 25 square inches plus area of the pyramid which is 70 square inches it is equal to 695 square inches. So this is the solution of the given question and that's all for this session hope you all have enjoyed the session.