- Problem 5: The composite solid consists of a cube with a cylinder on top. The cube has sides of 5 inches, so its volume is 5³ = 125 in³. The cylinder has a diameter of 4 inches (radius = 2 inches) and a height of 4 inches. Its volume is π * r² * h = 3.14 * 2² * 4 = 3.14 * 4 * 4 = 50.24 in³. The total volume is 125 + 50.24 = 175.24 in³.
- Problem 1: This L-shaped prism can be divided into two rectangular prisms. One part is 10 in x 3 in x 3 in = 90 in³. The other part is 8 in x 3 in x 3 in = 72 in³. The total volume is 90 + 72 = 162 in³.
- Problem 3: This solid is a rectangular prism with a square pyramid on top. The prism is 15 in x 15 in x 10 in = 2250 in³. The pyramid has a base of 15 in x 15 in and a height of 8 in. Its volume is (1/3) * base area * height = (1/3) * 225 * 8 = 600 in³. The total volume is 2250 + 600 = 2850 in³.
Parent Tip: Review the logic above to help your child master the concept of composite figure volume worksheet.
