geometry
posted by scott .
Can anyone help me to solve this, please?
A right prism has a polygonal base with n sides. Each side has a length of 5 in. The altitude of the prism is 20 in.
If the base had n+1 sides, each still having a side of length 5 in, by how much, in square inches, would the lateral area of the prism increase by? Express your answer as a number only.
I would be mighty grateful! Thanks...sz

geometry 
Henry
Al = Ph = 5n * 20 = 100n in^2. = Lateral Area.
Al = Ph = (5(n+1)) * 20 = (5n+5)*20 =
(100n + 100) in^2.
Amt. Increased=(100n+100) 100n = 100 in^2.
Respond to this Question
Similar Questions

Geometry
ABCA1B1C1 is a prism which has regular triangles in the bases. The side of the prism has the length "a". The side AA1 makes equal angles with the sides of the base AB and AC, these angles have the value "alfa". We know that AA1 has … 
geometry
the base of a right triangular prism has a width of 8 inches and a height of 6 inches. the length of the third side of the triangle is 10 inches and the length of the prism is 12 inches. What is the surface area of this prism? 
geometry
find the lateral area and the total surface area of the right prism if the base of the prism is a right triangle whole legs meausure 5in and 12 in . and the altitude of the prism measure 8 in. 
geometry
the base of a right prism is a rhombus whose diagonals are 6 in and 8 in. The altitude of the prism measures 10 in. Find the lateral area and the total area of the prism. 
math
thanks anyone! A right prism has a polygonal base with n sides. Each side has a length of 5 in. The altitude of the prism is 20 in. If the base had n+1 sides, each still having a side of length 5 in, by how much, in square inches, … 
geometry
The base of a right triangular prism is a right isosceles triangle whose equal sides measure 25 cm. each. The volume of the prism is 7.5 cubic meters. Find the height of the prism. 
Geometry
The base of a right prism is a rhombus with a side of 10 cm and an altitude of 9.6 cm. Find the diagonals of the prism if the altitude of the prism is 12 cm. 
geometry
A right prism has an altitude of 16 cm and a base that is a right triangle with legs measuring 3 cm and 4 cm. Find the total surface area of a similar right prism that has a base whose legs measure 6 cm and 8 cm. 
Geometry
The base of a right triangular prism is a right isosceles triangle whose equal sides measure 25 cm each. The volume of the prism is 0.075 cubic meters. Find the height of the prism 
Math
The base of the right prism is a rhombus with the side 7 cm. The altitude of the prism is h=13 cm. Find the lateral area of the prism.