What is the volume of the composite figure measuring 2 yards x 2 yards x 2 yards x 4.5 yards and 2 yards?

1 answer

To find the volume of the composite figure, we need to break it down into smaller, simpler shapes and then add their volumes together.

The composite figure consists of two rectangular prisms: one measuring 2 yards x 2 yards x 4.5 yards and one measuring 2 yards x 2 yards x 2 yards.

Volume of the first rectangular prism:
V = l x w x h
V = 2 yards x 2 yards x 4.5 yards
V = 18 cubic yards

Volume of the second rectangular prism:
V = l x w x h
V = 2 yards x 2 yards x 2 yards
V = 8 cubic yards

Total volume of the composite figure:
18 cubic yards + 8 cubic yards
= 26 cubic yards

Therefore, the volume of the composite figure measuring 2 yards x 2 yards x 2 yards x 4.5 yards and 2 yards is 26 cubic yards.