1 answer
(click or scroll down)
First, find the volume of the prism:
Volume of prism = length x width x height
Volume = 12 in. x 4 in. x 5 in.
Volume = 240 in.3
Next, find the volume of the pyramid:
Volume of pyramid = 1/3 x base area x height
Base area = length x width = 12 in. x 4 in. = 48 in.2
Volume = 1/3 x 48 in.2 x 10 in.
Volume = 160 in.3
Add the volumes of the prism and pyramid to find the total volume of the composite space figure:
Total volume = Volume of prism + Volume of pyramid
Total volume = 240 in.3 + 160 in.3
Total volume = 400 in.3
Therefore, the total volume of the composite space figure is 400 in.3.