Q5. - Algebra 1

Question

Express the volume of the solid as a monomial.

Step-by-Step Solution

Answer

The required volume is represented by $\mathbf{8}{\mathit{x}}^{\mathbf{9}}$.

Step 1. Analyze the provided figure.

The provided figure is representing a cuboid having length $x^2, 4x^4$ and $2x^3$.

Step 2. Take the help of volume of cuboid.

Take the help of formula represented by $V=length\times breadth\times height$ that is associated with the volume of cuboid. So, substitute the provided length, breadth and height into the formula and simplify.

$\begin{array}{c}V=x^2\cdot 4x^4\cdot 2x^3\\ =8x^9\end{array}$

Step 3. Write the conclusion.

The obtained volume is $8x^9$ so it is the required volume.