Question

The diagram shows a trapezoid prism.

Answer 1

Given:

The area of the cross-section is 55cm².

The volume of the prism is 330cm³.

To find:

The length of the prism.​

Solution:

We have,

Area of the cross-section = Area of base = 55 cm²

Volume of the prism = 330cm³.

Let x be the length(height) of the prism.

We know that,

$\text{Volume of prism}=\text{Base area}\times height$

$330=55\times x$

$\dfrac{330}{55}=x$

$6=x$

Therefore, the length of the prism is 6 cm.