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

Answer:

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

Step-by-step 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

$\frac{6cm }{ 3cm }= \frac{x}{1.2cm}$

$2= \frac{x}{1.2cm}$

Make x the subject

$x = 2 * 1.2cm$

$x = 2.4cm$