Question

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Match the correct volume formula with each described figure.​

Answer 1

The correct volume formula should be matched with each described figure as follows;

a prism with a height of x cm and a square base with side length of x cm ↔
`V=x^3`

a pyramid with a height of x cm and a square base with a side length of x cm ↔
`V=(x^3)/(3)`

a cylinder with a radius of x and height of cm ↔
`V=\pi x^3`

a cone with a radius of x cm and height of x cm ↔
`V=(1)/(3)\pi x^3`

In Mathematics and Geometry, the volume of a square prism can be calculated by using the following formula:

Volume of a square prism = base area × height

Volume of a square prism =
`x^2 * x`

Volume of a square prism =
`x^3`

Volume of a pyramid with square base = 1/3 × base area × height

Volume of a pyramid with square base =
`(1)/(3) * x^2 * x`

Volume of a pyramid with square base =
`(x^3)/(3)`

Volume of cylinder =
`\pi r^2h`

Volume of cylinder =
`\pi x^2 * x`

Volume of cylinder =
`\pi x^3`

Volume of cone =
`(1)/(3) \pi r^2h`

Volume of cone =
`(1)/(3) \pi x^2 * x`

Volume of cone =
`(1)/(3) \pi x^3`