Volume of a Cuboid and Cube

The volume of a cube is calculated as length \times length \times length. For a side length of 5 cm, the volume is $5\times 5\times 5=125{\text{ cm}}^3$.

The volume of a cuboid is calculated as length \times width \times height. For this cuboid: $3\times 4\times 5=60{\text{ cm}}^3$.

The volume of a cube is length \times length \times length. To find the side length, take the cube root of 64: $\sqrt[3]{64}=4\text{ cm}$.

The volume of a cuboid is length \times width \times height. Rearranging for height: height = volume \div (length \times width). For this cuboid, height = $45÷(5\times 3)=3\text{ cm}$.

The volume of a cuboid is length \times width \times height. For length: length = volume \div (width \times height). For this cuboid, length = $540÷(6\times 9)=10\text{ cm}$.

The volume of the cuboid is $10\times 5\times 4=200{\text{ cm}}^3$. The volume of the cube is $6\times 6\times 6=216{\text{ cm}}^3$. The total volume is $200+216=416{\text{ cm}}^3$.