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Hey there! Ready to explore the exciting world of 3D shapes? Let's discover how much space these objects hold inside!
In geometry, 2D shapes like squares have flat areas, but 3D shapes (solids) take up space in the real world. Today, we are focusing on prisms, which are 3D shapes with two identical flat ends called bases.
To find the volume of a prism, we start with the area of its bottom base. Imagine painting the floor of a box first before we start stacking layers upward.
Next, we multiply that base area by the height of the prism. This is like stacking identical flat layers on top of each other to fill the entire 3D space!
A rectangular juice box has a base area of 15 square centimeters and a height of 10 centimeters. What is the total volume of the juice box?
- Identify the base area (B) of the prism, which is given as 15 cm².
- Identify the height (h) of the prism, which is given as 10 cm.
- Use the volume formula for a prism: Volume = Base Area × Height (V = B × h).
- Substitute the values into the formula: V = 15 × 10.
- Calculate the final product: V = 150 cubic centimeters (cm³).
