To calculate the volume of a cuboid with dimensions of 5 cm, 3 cm, and 2 cm, use the volume formula V = length × width × height, resulting in 30 cm³. For isometric sketches, draw the cuboid from three different angles using 30-degree angled lines for depth.
The question is asking to calculate the volume of a cuboid with dimensions of 5 cm, 3 cm, and 2 cm and to create isometric sketches of the cuboid. To calculate the volume of a cuboid, use the formula V = length × width × height, which in this case is V = 5 cm × 3 cm × 2 cm = 30 cm³. Creating isometric sketches involves drawing the cuboid from different angles. One sketch could show the 5 cm length as the base, the second with the 3 cm width as the base, and the third could have the 2 cm height at the front. Each perspective should be drawn using 30-degree angles to the horizontal to represent depth and project a three-dimensional appearance of the cuboid.
The isometric sketches will help visualize the cuboid in three-dimensional space and the volume calculation ensures understanding of the geometric concepts.