Question

The diagram shows a trapezoid prism.

The area of the cross-section is 55cm.
The volume of the prism is 330cm
Find the length of the 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}* height`

`330=55* x`

`(330)/(55)=x`

`6=x`

Therefore, the length of the prism is 6 cm.