Question

the base of a garden box in the shape of a rectangular prism has an area of 27,405 square centimeters. the height of the garden box is 18 centimeters. what is the volume of the garden box? use the standard algorithm. show your work.

Explanation:

Step1: Recall volume formula

The volume formula for a rectangular - prism is $V = B\times h$, where $B$ is the base - area and $h$ is the height.

Step2: Substitute given values

We are given that $B = 27405$ square centimeters and $h = 18$ centimeters. So, $V=27405\times18$.

Step3: Perform multiplication

\[

$$\begin{align*} 27405\times18&=(27400 + 5)\times18\\ &=27400\times18+5\times18\\ &=(27000 + 400)\times18+90\\ &=(27000\times18+400\times18)+90\\ &=(486000+7200)+90\\ &=493200 + 90\\ &=493290 \end{align*}$$

\]

Answer:

493290 cubic centimeters