Question

The prism shown has a volume of 35 cm^3

Answer 1

Answer:

$Height = 2.5$

Step-by-step 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:

$Volume = Height * \frac{1}{2} * Base * Length$

So, we have:

$35 = Height * \frac{1}{2} * 4 * 7$

$35 = Height * 14$

$Height = 35/14$

$Height = 2.5$