1.use euler’s formula to find the missing number. edges: 40 faces: 24 vertices: ? a jewelry store buys small boxes in which to wrap items that they sell. the diagram below shows one of the boxes. find the lateral area and the surface area of the box to the nearest whole number. 2.68 cm a. 113cm ; 293cm b. 56cm ; 383cm 6 cm 15cm not drawn to scale c. 56cm ; 293cm d. 113cm ; 383cm

Euler's Formula states that:

V -E +F = 2   meaning that the vertices minus the edges plus the faces of a convex polyhedron will always equal two.

So, for the initial question, we have 40 edges and 24 faces.

So, vertices = 2 + Edges -Faces

Vertices = 2 + 40 - 24

Vertices = 18

Source: https://www.1728.org/platonic.htm

Step-by-step explanation:

d 25 pi/6

step-by-step explanation:

the diameter is 10 inches

the radius is 1/2 of the diameter or 5 inches

the area of the circle is

a = pi r^2

  = pi 5^2

  = 25 pi

the slice is 60 degrees of the entire circle.

60 degrees out of 360   60/360 = 1/6

the area of the slice is 1/6 of the circle

a slice = 1/6 a circle

a slice = 1/6 * 25 pi