Question

The horizontal cross section shown is a parallel to the base of the pyramid is the shortest side of the cross-section measures 1.2 cm what is the measure of the cross

Answer 1

The longest side of the cross-section is:
`2.4cm`

Explanation:

Given

See attachment for pyramid

Required

The longest side of the cross-section

The base of the pyramid is a rectangle with the following dimension (in terms of length)

`Long = 6cm`

`Short = 3cm`

For the cross-section, we have:

`Long = x`

`Short =1.2cm`

Since both are parallel, then the following relationship exist between both

`Ratio = Long : Short`

So, we have:

`6cm : 3cm = x: 1.2cm`

Express as fraction

`(6cm )/( 3cm )= (x)/(1.2cm)`

`2= (x)/(1.2cm)`

Make x the subject

`x = 2 * 1.2cm`

`x = 2.4cm`