wikiHow Worksheet and Practice Problems to Calculate Volume The formula to calculate volume depends on the shape of the object: * Rectangular Prism (box-shaped object): The volume of a rectangular prism is found by multiplying its length, width, and height. The formula is V = l * w * h, where l is the length, w is the width, and h is the height. * Cube: The volume of a cube is found by multiplying the length of one side by itself three times. The formula is V = s^3, where s is the length of one side. * Cylinder: The volume of a cylinder is found by multiplying the base area (πr^2) by the height (h). The formula is V = πr^2h, where r is the radius of the base and h is the height. * Sphere: The volume of a sphere is found by using the formula (4/3)πr^3, where r is the radius. * Pyramid: The volume of a pyramid is found by multiplying the base area by the height and dividing by 3. The formula is V = Bh/3, where B is the base area and h is the height. Practice Problems: 1. A rectangular box has a length of 10 cm, a width of 5 cm, and a height of 2 cm. What is the volume of the box? 2. A cube has sides of length 6 cm. What is the volume of the cube? 3. A cylinder has a height of 10 cm and a radius of 3 cm. What is the volume of the cylinder? 4. A sphere has a radius of 4 cm. What is the volume of the sphere? 5. A rectangular swimming pool measures 20 meters long, 10 meters wide, and 2 meters deep. What is the volume of the pool? 6. A cylinder-shaped water tank has a diameter of 4 meters and a height of 6 meters. What is the volume of the tank? 7. A spherical basketball has a diameter of 24 centimeters. What is the volume of the ball? Remember to convert the units of measurement to a consistent unit, such as cm or m, before performing the calculations. Answer Key: 1. Solution: The volume of a rectangular box is found by multiplying its length, width, and height. The formula is V = l * w * h, where l is the length, w is the width, and h is the height. V = 10 cm * 5 cm * 2 cm = 100 cubic cm. 2. Solution: The volume of a cube is found by multiplying the length of one side by itself three times. The formula is V = s^3, where s is the length of one side. V = 6 cm^3 = 216 cubic cm. 3. Solution: The volume of a cylinder is found by multiplying the base area (πr^2) by the height (h). The formula is V = πr^2h, where r is the radius of the base and h is the height. V = π * 3^2 * 10 cm = 90π cubic cm. 4. Solution: The volume of a sphere is found by using the formula (4/3)πr^3, where r is the radius. V = (4/3)π * 4^3 = (4/3)π * 64 = 256π/3 cubic cm. 5. Solution: The volume of a rectangular pool can be calculated by multiplying its length, width, and depth: 20 meters * 10 meters * 2 meters = 400 cubic meters. 6. Solution: To calculate the volume of a cylinder, use the formula V = πr^2h, where r is the radius and h is the height. The radius of the tank is half the diameter, so r = 4 meters / 2 = 2 meters. The volume of the tank is: V = π * 2^2 * 6 meters = 24π cubic meters. 7. Solution: To calculate the volume of a sphere, use the formula V = (4/3)πr^3, where r is the radius. The radius of the ball is half the diameter, so r = 24 centimeters / 2 = 12 centimeters. The volume of the ball is: V = (4/3)π * 12^3 cubic centimeters = 904.78 cubic centimeters. Page