Volume Of Cube Cuboid And Cylinder

The volume of a cylinder is given by the formula: where is the radius and is the height. We are given and cm. Substituting the values into the formula: Simplifying: The lateral surface area of a cylinder is given by the formula: Substituting cm and cm: Thus, the lateral surface area is , and we have to match the answer in the options. After calculation, the correct answer is 252 cm .

The volume of a cuboid is given by the formula: We are given the volume expression , which factors as: We can factor as: Thus, the factorization of the volume expression is: The longest side of the cuboid is the largest factor, which is . Therefore, the correct answer is .