Surface Area of Prisms and Cylinders worksheet with nets and dimensions.

To solve this problem, we need to take the measurements from the 3D shapes (solids) and write them on the correct parts of their "nets" (the flat patterns that fold up to make the shape).

Here is the step-by-step breakdown for each number:

1) Cylinder
* The Solid: Has a height of 7 and a radius of 4.
* The Net:
* The long rectangle represents the side of the cylinder. Its height matches the solid's height. So, the vertical side of the rectangle is 7.
* The two circles are the top and bottom. The line from the center to the edge is the radius. So, label the radius on both circles as 4.

2) Hexagonal Prism
* The Solid: Has a height of 8 and the distance from the center to the corner of the base is 6.9.
* The Net:
* The row of rectangles makes up the sides. Their height matches the solid's height. So, the vertical side of the rectangles is 8.
* The two hexagons are the bases. The line drawn inside them goes from the center to a corner. This matches the measurement on the solid. So, label that line on both hexagons as 6.9.

3) Pentagonal Prism
* The Solid: Has a height of 15, a base side length of 13, and a distance from center to corner of 8.9.
* The Net:
* The row of rectangles represents the sides. Their height is 15.
* The width of each small rectangle corresponds to the side length of the pentagon base. So, the horizontal width of the rectangles is 13.
* The two pentagons are the bases. The line from the center to the corner is 8.9. Label this on both pentagons.

4) Pentagonal Prism
* The Solid: Has a height of 13, a base side length of 8.9, and a distance from center to corner of 8.
* The Net:
* The row of rectangles represents the sides. Their height is 13.
* The width of each small rectangle corresponds to the side length of the pentagon base. So, the horizontal width of the rectangles is 8.9.
* The two pentagons are the bases. The line from the center to the corner is 8. Label this on both pentagons.

5) Rectangular Prism
* The Solid: Dimensions are 10 (height), 16 (length), and 5 (width/depth).
* The Net:
* Look at the cross-shape. The large central rectangle usually represents the front face. Let's match the dimensions: Height is 10, Length is 16. So, the big central rectangle is 10 tall and 16 wide.
* The rectangles attached to the left and right sides represent the depth (width). So, their width is 5. Their height stays 10.
* The rectangles attached to the top and bottom represent the top and bottom faces. They share the length of the center piece (16) and have a height equal to the depth (5).

6) Cylinder
* The Solid: Has a height of 10 and a radius of 2.
* The Net:
* The long rectangle represents the side. Its height matches the solid. So, the vertical side of the rectangle is 10.
* The two circles are the top and bottom. The radius is 2. So, label the radius on both circles as 2.

Final Answer:
1) Rectangle height: 7; Circle radius: 4
2) Rectangle height: 8; Hexagon center-to-corner: 6.9
3) Rectangle height: 15, width: 13; Pentagon center-to-corner: 8.9
4) Rectangle height: 13, width: 8.9; Pentagon center-to-corner: 8
5) Center rectangle: 10 high, 16 wide; Side flaps: 5 wide; Top/Bottom flaps: 5 high
6) Rectangle height: 10; Circle radius: 2