Question

A cube with a cylindrical hole cut out of the middle is shown. The edge length of the cube is 36 feet, and the circle on the front face of the cube has a diameter of 4 feet. The volume of this figure is​

Answer 1

46204 ft³

                              Explanation:

Volume of cube: length³ ⇒ 36³ ⇒ 46656 ft³

Volume of cylinder: πr²h ⇒ π(2)²(36) ⇒ 144π ⇒ 452.39 ft³

Volume of the figure: 46656 - 452.15 = 46203.61 ft³ ≈ 46204 ft³

Answer 2

For cube

• Volume=side³
• V=36³
• V=46656ft³

For cylinder

Area of base:-

• π(4/2)²
• 3.14(2)²
• 4(3.14)
• 12.56ft²

Volume:-

• Area of base×Height
• 12.56(36)
• 452.16ft³

Volume of figure:-

• 46656-452.16
• 46203.84ft³