Final answer:
To find the volume of a prism, use the correct formula based on its shape. For a cylinder, use V = πr²h, for a cube, use V = a³, and for a rectangular prism, multiply the length by the width by the height.
Step-by-step explanation:
The volume of a prism can be found using various formulas depending on the shape of the prism. In the case of a cylinder, which is a type of prism, the formula is V = πr²h, where V is volume, r is the radius of the cylinder's base, and h is the height of the cylinder. Given the provided calculation, the volume of a cylinder with a radius of 0.750 cm and height of 5.25 cm is 9.278 cm³.
For other shapes, like a cube, the volume is found using V = a³, where a is the length of each side of the cube. For example, a cube with an edge length of 0.843 cm has a volume of 0.843 cm x 0.843 cm x 0.843 cm = 0.599067 cm³, which can be rounded to three decimal places as required.
Additionally, the volume of a rectangular prism can be calculated by multiplying its length, width, and height. For instance, a small rectangular box with sides measuring 1.80 cm, 2.05 cm, and 3.1 cm has a volume of 11.4 cm³.