You may also see nets used as a representation of 3-dimensional figures in problems that ask you to determine the volume of the resulting figure.
The Candy Shop
Mr. McCallum works at a candy shop and is designing a new box that will hold small pieces of chocolates. The net for the box, which will be stamped out of paperboard, has the following design:
In this design, the faces that are shaded orange will be the bases of the box that, when it is folded together, will be in the shape of a rectangular prism.
Use the formula you identified earlier, V= Bh, to write the expression.
What are the dimensions of the base of the rectangular prism? Click the box beneath each dimension to select the number.
Write an expression that you can use to determine the area of the base of the prism.
Interactive popup. Assistance may be required. What shape is the base of the prism? How do you find the area of that shape?
Interactive popup. Assistance may be required. B = (21 over 4 1 4 in.)(31 over 2 1 2 in.)
Write an expression that you can use to determine the area of the volume of the prism.
Interactive popup. Assistance may be required. Use the formula you identified earlier, V= Bh, to write the expression.
Interactive popup. Assistance may be required. V = (21 over 4 1 4 in.)(31 over 2 1 2 in.)(17 over 8 7 8 in.)
Use the expression to calculate the volume of the candy box.
Interactive popup. Assistance may be required. V = 1449 over 64 49 64 in.3
Write an expression that you can use to determine the volume of each of the figures that is represented by the nets below.
Triangular Prism:
Interactive popup. Assistance may be required. How can you find the area of the base of this figure?
Interactive popup. Assistance may be required. V = 1 over 2 1 2(13 over 4 3 4)(21 over 2 1 2)2
Cylinder:
Interactive popup. Assistance may be required. How can you find the area of the base of this figure?
Interactive popup. Assistance may be required. V = π(1.25 over 2 1.25 2)2(0.7)