Question

A watch company is developing packaging for its new watch. The designer uses hexagons with a base area of 25 in squared and rectangles with a length of 10 in to create a prototype for the new package. What is the volume of the prototype?

How do I set this up?

Answer 1

Volume of the prototype is 250 in.³

Explanation:

Given:

Base area of the watch packaging case = 25 in.²

Length of the rectangle on the side = 10 in.

To find: Volume of the packaging prototype.

Prototype of the packaging of the watch is in shape of prism whose base is a hexagon and sides are in shape of rectangle.

So, Volume of the prism = Base Area × Height

Thus, Volume of the Prototype = 25 × 10

= 250 in.³

Therefore, Volume of the prototype is 250 in.³

Answer 2

The volume of the prototype is
`V=250\ in^(3)`

Explanation:

we know that

The volume of a hexagonal prism is equal to

`V=BH`

where

B is the area of the hexagonal base

H is the length of the rectangular face

we have

`B=25\ in^(2)`

`H=10\ in`

substitute

`V=(25)(10)`

`V=250\ in^(3)`