A rectangular solid has sides of 10 cm, 6.5 cm, and 8.3 cm. What is its volume and surface area?
To find the volume of a rectangular solid, you need to multiply its length, width, and height. In this case, the length is 10 cm, the width is 6.5 cm, and the height is 8.3 cm. So, the volume can be calculated as follows:
Volume = length × width × height
Volume = 10 cm × 6.5 cm × 8.3 cm
Volume = 539 cm³
Therefore, the volume of the rectangular solid is 539 cm³.
To find the surface area of a rectangular solid, you need to calculate the sum of the areas of all its sides. The surface area can be calculated as follows:
Surface Area = 2(length × width + width × height + height × length)
Surface Area = 2(10 cm × 6.5 cm + 6.5 cm × 8.3 cm + 8.3 cm × 10 cm)
Surface Area = 2(65 cm² + 53.45 cm² + 83 cm²)
Surface Area = 2(201.45 cm² + 83 cm²)
Surface Area = 2(284.45 cm²)
Surface Area = 568.9 cm²
Therefore, the surface area of the rectangular solid is 568.9 cm².
SA = 2(10 * 6.5) + 2(6.5 * 8.3) + 2(10 * 8.3)
V = 10 * 6.5 * 8.3
SA=403.9
V=539.5