Question

Can anyone explain how to solve this? I just can't figure out how. Thanks!! :D

Answer 1

`"triangular prism"`

Explanation:

`"to compare the 2 containers calculate their volumes"`

`•color(white)(x)V_(color(red)"prism")="area of base "xx"height"`

`rArrV_(color(red)"trapezium")=36xx5=180" cubic inches"`

`V_(color(red)"triangle")=32xx6=192" cubic inches"`

`"the triangular prism is better value as it contains more "`
`"popcorn"`

Answer 2

As both shapes are prisms you find the volume of both containers by multiplying the base area by its height in order to find which prism contains more popcorn.

Explanation:

`V_(prism) = "area base" xx "height"`

Trapezoidal prism container:
`V = 36*5=180`

Triangular prism container
`V= 32*6=192`

Since the volume of the trapezoidal prism container is `180 " inches"^3` and the volume of the triangular prism container is `192 " inches"^3`,

The triangular prism container of popcorn is the better deal.