Discussion Questions:
Students should have an opportunity to look at the work together. The dimensions of the work are 182.7 x 61 x 23 cm.
1) Create together a diagram using isometric dot paper (and parallel for all to see, on overhead or Smart Board) or with a 3-D sketch in order to label the three dimensions carefully. The diagram does not need to be to scale, but should indicate the various measurement differences.
2) What is the volume of the work? What are the units used to measure the volume?
3) What is the surface area of the piece? What are the units used to measure the surface area?
4) How would this work have been made? Is it solid inside? Is it just a shell? Hint: Take a look at the materials list and this should give you the answer.
5) What would the net have to look like in order to make this volume?
A net is a pattern that can be folded or bent to make the shell of a three-dimensional shape. Without a lot of paper, it would be hard to make a net as for a right prism as big as Black Volume! However, we can use a scale.
Together students will come up with an appropriate scale that would fit on Bristol board. A 6:1 ratio works well and fits on the board with some space remaining (you may want to round the measurements to 180 x 60 x 24, depending on the ability and experience of the students. 10:1 ratio makes the width quite small, although it is much easier to convert).

Draw a sketch of the net for Black Volume and write down the real measurements.

Use your appropriate scale to indicate the model measurements (scaled) on this sketch. Once you have checked that the measurements make sense and fit on the Bristol board, transfer your measurements to the board.

Design your net. Remember the famous Carpenter?s Rule: Measure twice, cut once! Once you have done this, build your very own sculpture!

How many of your sculpture?s would fit inside the real one?
a) There are definitely many ways to consider this problem. Look at the volume of your model and compare this to the real volume. Just looking at the volumes, how many do you think would fit inside the real one? How does this compare to your scale factor?
b) If you actually wanted to build enough models to fit inside, how many would you build to fit inside? Is this the same as the question above?