Question

Find the volume of the pyramid to the nearest cubic unit. Use a calculator.

edge 14 ft; height 12 ft

Answer 1

56

Explanation:

V=lwh/3

im guessing its a square pyramid?

14(12)/3

=56

Answer 2

The volume of the pyramid with an edge length of 14 ft and a height of 12 ft is approximately 784 cubic feet.

Explanation:

The formula for the volume of a pyramid is given by:

`\[ V = (1)/(3) * \text{base area} * \text{height} \]`

In this case, the pyramid has a square base, so the base area is
`\( \text{edge} * \text{edge} \)`. The given values are:

`\[ \text{edge} = 14 \, \text{ft} \]`

`\[ \text{height} = 12 \, \text{ft} \]`

Let's substitute these values into the formula and calculate the volume:

`\[ \text{base area} = \text{edge} * \text{edge} = 14 \, \text{ft} * 14 \, \text{ft} \]`

`\[ \text{base area} = 196 \, \text{ft}^2 \]`

Now, substitute the values into the volume formula:

`\[ V = (1)/(3) * 196 \, \text{ft}^2 * 12 \, \text{ft} \]`

`\[ V = (1)/(3) * 2352 \, \text{ft}^3 \]`

`\[ V \approx 784 \, \text{ft}^3 \]`

Therefore, the volume of the pyramid is approximately
`\( 784 \, \text{ft}^3 \).`