Question

The cross-section of a prism is in the shape of a trapezium as shown.​

Answer 1

Answer:

$Length = 15cm$

Step-by-step explanation:

Given

The cross-section

$Volume = 630cm^3$

Required

Calculate the length

We start by calculating the area of the trapezium cross-section.

$Area = \frac{1}{2}(Sum\ of\ parallel\ sides) * Height$

$Area = \frac{1}{2}(9cm + 5cm) * 6cm$

$Area = \frac{1}{2}* 14cm* 6cm$

$Area = 42cm^2$

The length is then calculated from volume as:

$Volume = Area * Length$

Substitute values for Volume and Area

$630cm^3 = 42cm^2 * Length$

Make Length the subject

$Length = \frac{630cm^3}{42cm^2}$

$Length = 15cm$