Draw and design a sand castle.
Instructions:
Using the following sand castle building shapes provided, draw and design a sand castle. You must use each shape at least once in your design, but they can be used as many times as desired. The sketch does not have to be to scale. Once you have designed the castle, find out how much sand in cubic inches is needed to actually build the castle.
Sand Castle Design:
- Start with a large square base for the main castle structure.
- Stack several cylindrical towers on top of the base.
- Use triangular shapes to create pointy roofs on the towers.
- Add a circular turret for a lookout point.
- Create a curved wall around the base of the castle using a semi-circle shape.
- Use rectangular blocks to build a bridge leading to the entrance of the castle.
- Incorporate some smaller square windows and circular windows throughout the design.
Sand needed for construction:
To calculate the amount of sand needed, we will need to determine the volume of each shape used in the design and then add them together.
Square base: 10 inches x 10 inches x 1 inch = 100 cubic inches
Cylindrical towers: 2 inches radius x 4 inches height x 4 towers = 32 cubic inches each x 4 = 128 cubic inches
Triangular roofs: 2 inches base x 2 inches height x 4 roofs = 8 cubic inches each x 4 = 32 cubic inches
Circular turret: 2 inches radius x 2 inches height = 8 cubic inches
Semi-circle wall: 5 inches radius x 2 inches height = 50 cubic inches
Rectangular blocks for the bridge: 2 inches wide x 6 inches long x 1 inch height = 12 cubic inches
Small square windows: 1 inch x 1 inch x 1 inch = 1 cubic inch each x 4 = 4 cubic inches
Small circular windows: 1 inch radius x 1 inch = 3.14 cubic inches x 4 = 12.56 cubic inches
Total sand needed for construction = 100 + 128 + 32 + 8 + 50 + 12 + 4 + 12.56 = 346.56 cubic inches