Final answer:
The question seems to contain errors as it does not provide the required measurements for a triangular prism. To find the volume of a triangular prism we need the area of the base triangle and the height of the prism. With the correct dimensions, we could use the formula V = base area × height to find the volume.
Step-by-step explanation:
To find the volume of a triangular prism, you would typically use the formula V = base area × height, where the base area is the area of the triangle at the end of the prism, and the height is the length between the triangular ends of the prism. However, the way the question is written seems to contain errors or typos, none of which directly describes a triangular prism or provides the necessary measurements such as base and height of the triangle, or the length of the prism itself to calculate its volume. With the correct dimensions provided, we could apply the formula to find the correct volume.
Similarly, for finding the volume of a cube with sides of 0.774 m, you would use the formula V = s³, which results in V = (0.774 m) ³. To ensure correct significant figures, we would need to follow rules of multiplication for the significant figures from the provided measurement.
Calculating the volume of a rectangular box would involve the formula V = length × width × height, and considering the uncertainty of the measuring device, which would affect the final uncertainty of the calculated volume.
For a cylinder, the volume is found using the formula V = πr²h. In the provided example, substituting the radius and height into the formula gives us the volume of the cylinder in cubic centimeters.