Question

GEOMETRY Express the volume of each solid as a monomial. a. 9h6b. 9h8c. 27h6d. 27h8

Answer 1

The volume of a rectangular prism of width W, length L, and Height H is calculated as:

`V=W\cdot L\cdot H`

The solid in the figure is a cube (W = L = H) with a side length of

`W=L=H=3h^2`

Calculating the volume:

`\begin{gathered} V=3h^2\cdot3h^2\cdot3h^2 \\ V=27h^6 \end{gathered}`

Choice c.