Question

The prism shown has a volume of 35 cm^3

Work out h, the height of the triangular cross section.
Length =7 cm
Base=4 cm

Answer 1

`Height = 2.5`

Explanation:

Given

`Volume = 35`

`Length =7`

`Base=4 cm`

Required

Determine the height

The volume is calculated as:

`Volume = Height * Base\ Area`

Since, it has a triangular cross-section, the expression becomes:

`Volume = Height * (1)/(2) * Base * Length`

So, we have:

`35 = Height * (1)/(2) * 4 * 7`

`35 = Height * 14`

`Height = 35/14`

`Height = 2.5`