Question

Volume of the left cube = cubic centimeters
Volume of the middle rectangular prism = cubic centimeters
Volume of the right cube = cubic centimeters
A)
Find the volume of this composite figure.
Volume of Right Prism or Cylinder = (area of base)(height) or V = Bh
(4 points)

Volume of the entire composite figure = cubic centimeters

12m, 5m, 5m, 5m, 5m, 5m, 10m

Answer 1

I don't have the diagram, so I'll confirm the assumption I'm using: the left solid is a cube with side 5 m, the middle solid is a rectangular prism 12 m × 5 m × 5 m, and the right solid is a cube with side 10 m. (These assignments match the list you gave: 12 m, several 5 m labels, and 10 m.)

Using Vcube = s^3 and Vprism = length × width × height:

- Volume of left cube = 5^3 = 125 m^3
- Volume of middle rectangular prism = 12 × 5 × 5 = 300 m^3
- Volume of right cube = 10^3 = 1000 m^3

Total volume = 125 + 300 + 1000 = 1425 m^3.

If you need the answer in cubic centimeters: 1 m^3 = 1,000,000 cm^3, so 1425 m^3 = 1,425,000,000 cm^3.

If my assignment of the given lengths to the three solids is wrong, please upload the figure or tell me which dimension goes with which edge and I’ll recalculate.