Question

Find the volume of a pyramid with a square base, where the area of the base is

27.5 cm and the height of the pyramid is 8.6 cm. Round your answer to the nearest tenth of a cubic centimeter.

Answer 1

Find the volume of a pyramid with a square base, where the area of the base is
`\displaystyle 27.5 cm^2` and the height of the pyramid is 8.6 cm.

To find the volume of a pyramid with a square base, we can use the formula:

`\displaystyle V = (1)/(3) * \text{Base Area} * \text{Height}`

Given that the area of the base is 27.5 cm
`^2` and the height of the pyramid is 8.6 cm, we can substitute these values into the formula to calculate the volume.

`\displaystyle V = (1)/(3) * 27.5 \, \text{cm}^2 * 8.6 \, \text{cm}`

Simplifying the expression:

`\displaystyle V = (1)/(3) * 235.5 \, \text{cm}^3`

Calculating the result:

`\displaystyle V = 78.5 \, \text{cm}^3`

Rounding the answer to the nearest tenth of a cubic centimeter, the volume of the pyramid is approximately 78.5 cm
`^3`.