Find the volume of the figure. Round to the nearest hundredth if necessary.10 km9 km5.3 km 6 km6 km

Question

asked Jun 21, 2023 140k views

1 Answer

Michael Mahn · Answer 1 · 2023-06-26T05:49:57+0000

Answer:

159 cubic km.

Explanation:

The given figure is a triangular prism. To calculate the volume, we use the formula below:

$Volume,V=Base\;Area* Length$

First, the base area is calculated:

• The base of the Triangular Cross-section = 10 km

,

• Perpendicular Height = 5.3 km

$Base\;Area=(1)/(2)*10*5.3=26.5\;km^2$

The length of the prism = 6 km

Therefore, the volume:

$V=26.5*6=159\;km^3$

The volume of the figure is 159 cubic km.