If a plane slices the solid figure shown below, what is the largest number of sides the cross section can have? type your answer as a number. largest number of sides =

5

Step-by-step explanation:

The figure has 5 faces. A plane can be chosen that slices all of them, hence results in a 5-sided cross-section figure.

How

Draw a line on one of the triangular bases that is not parallel to any edge. It must intersect 2 of the 3 edges. Draw a line on the opposite triangular base parallel to the first line, but that intersects the edge parallel to the one not intersected by the first line.

The plane containing the two lines you drew will intersect all 5 faces of the prism.

so then what are you asking?

step-by-step explanation:

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240