Question

I need to find the lateral surface area and volume

Answer 1

Solution

Step 1

The lateral surface area of any right rectangular prism is equivalent to the perimeter of the base times the height of the prism. Therefore, the lateral surface area (LSA) of a rectangular prism = 2 ( l + w ) h square units.

Step 2

Lateral surface area:

The perimeter of the base = 1/2 x (17 + 29) x 8

Lateral surface area = 184

$Lateral\text{ surface area = 184 in}^2$

Step 2

$\begin{gathered} Volume\text{ = Base area x Height} \\ Base\text{ area =}\frac{1}{2}\times(17+29)\times8 \\ \\ Area\text{ = 184} \\ \\ Volume\text{ = Base area }\times\text{ height} \\ Volume\text{ = 184 }\times\text{ 8 = 1472 in}^3 \end{gathered}$

Lateral surface = 184

Volume = 1472