First find the volumes of the bottom and top prisms separately. Then take the sum of their volumes.
144 cm^3
Practice makes perfect
To find the volume of the figure, we first need to find the volume of the top and bottom figures separately. Then we will take the sum of these volumes to find the total. Let's start with the bottom figure.
We can see that the bottom figure is a rectangular prism. Let's recall the formula for the volume of a prism.
V=B * h, where B= l * wLooking at the base, we can see the length is 6 centimeters and the width is 8 centimeters. The height of the prism is 2 centimeters. Let's substitute these values into the formula to find the volume of the bottom prism.
The volume of the bottom figure is 96 cubic centimeters. Let's take a look at the top figure.
The top figure is also a rectangular prism. Looking at the base, we can see the length is 2 centimeters and the width is 8 centimeters. The height of the prism is 3 centimeters. Let's substitute these values into the formula to find the volume of the top prism.
The volume of the top figure is 48 cubic centimeters. Finally, we we will add the volume of the bottom and top figures to find the volume of the composite figure.
V_(composite)=V_(bottom)+V_(top)
⇕
V_(composite)=96+48= 144 cm^3
The volume of the composite figure is 144 cubic centimeters.
