Determine the minimum amount of packaging needed to completely cover a triangular prism Oblerone bar with these dimensions: length 22.5 cm; triangular face

A right triangular prism has 3 rectangular faces.

If each of the edges of the triangular base measures 4.5cm,

and the length (the height) of the prism is 22.5cm,

the 3 rectangular faces (sides of the box) are rectangles,

22.5cm long and 4.5cm wide.

Each face has a surface area of (22.5cm)(4.5cm)=101.25 square centimeters.

The total lateral surface area for the 3 rectangular sides of the box is

3(101.2 square centimeters)=303.75 square centimeters.

If the triangular faces of the box are triangles

with a base measuring 4.5cm and a height measuring 4.0cm,

the surface area of each triangular face is

(1/2)(4.5cm)(4.0cm)=9 square centimeters.

The surface area of the two triangular faces adds up to

2(9 square centimeters)=18 square centimeters.

The total surface area for the box is

303.75 square centimeters + 18 18 square centimeters= 321.75 18 square centimeters,

and that rounds up to highlight 322 square centimeters.

NOTE:

The answer above is the one your teacher wants,

but there is a problem with this problem.

An equilateral triangle with sides measuring 4.5cm

would have a height of approximately 3.9cm.

The Pythagorean theorem says so.

However, the 4.0cm value makes the calculations easier.

two data sets with the same median will not have the same varaibility

step-by-step explanation: