Volumes of prisms and cylinders
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To find the volumes of prisms and cylinders, you need to know their respective formulas. Here are the step-by-step instructions for finding the volume of a prism and a cylinder:
Volume of a Prism:
Step 1: Identify the shape of the base of the prism (e.g., rectangle, triangle, etc.), and measure the base's dimensions (length and width).
Step 2: Measure the height of the prism.
Step 3: Calculate the volume using the formula: Volume = Base Area × Height. The base area is determined by multiplying the length and width of the base if it's a rectangle, or using the appropriate formula for other shapes.
Volume of a Cylinder:
Step 1: Measure the radius (r) of the base of the cylinder. If you only have the diameter (d), divide it by 2 to find the radius (r = d/2).
Step 2: Measure the height (h) of the cylinder.
Step 3: Calculate the volume using the formula: Volume = π × r^2 × h. The radius squared (r^2) is multiplied by π (pi) and the height (h).
Remember to use the appropriate units in your calculations and round the final answer to the desired decimal places, if necessary.