Question

Find the volume of a pyramid with a height of 25 cm and a rectangular base with dimensions of 6cm and 10 cmRound your answer to the nearest hundredth as needed.cm3Submit Question

Answer 1

We are given that a pyramid has a height of 25 cm and the base has dimensions of 6cm by 10 cm. To determine its volume we will use the following formula:

`V=(1)/(3)A_bh`

Where:

`\begin{gathered} V=\text{ volume} \\ A_b=\text{ area of the base} \\ h=\text{ height} \end{gathered}`

To determine the area of the base we use the area of a rectangle, which is the product of its dimensions:

`A_b=(6cm)(10cm)`

Solving the operations:

`A_b=60cm^2`

Now, we plug in the values in the formula for the volume:

`V=(1)/(3)(60cm^2)(25cm)`

Now, we solve the operations:

`V=500cm^3`

Therefore, the volume is 500 cubic centimeters.