Question

The figure below is made of 1-inch cubes. Three cubes have been removed from each corner of the top of a prismA 258 in3B 270 in3 C 200 in3D 267 in3

Answer 1

The Solution:

Given the figure below:

We are required to find the volume of the given prism.

By formula, the volume of a prism is:

$V=\text{ base area}\times height=L\times W\times H$

In this case,

L=length=9 inch

W=width=5 inch

H=height=6 inch

The question says 3 cubes are removed from each corner.

The total cubes removed is:

$\begin{gathered} 3\times4=12\text{ cubes.} \\ \text{ The volume of these 12 cubes is:} \\ 12(1\times1\times1)=12\text{ cubic inches} \end{gathered}$

So, the required volume is:

$V=(9\times5\times6)-12=270-12=258inches^3$

Therefore, the correct answer is [option A]