Question

2 The model shown below is a composite of tworectangular prismsWhat is the volume of the model in cubic units?F 640 H 960G 512 J 1,28000

Answer 1

We have different options to solve this problem.

In this case we will use the fact that the volume of a prism is the product of the base and the height, being the height constant and perpendicular to the base.

$V=A_b\cdot h$

In this case, the base is a composite figure:

Then, we can calculate the area of the base as the sum of the area of this two rectangles:

$\begin{gathered} A_b=A_1+A_2 \\ A_b=8\cdot8+(16-8)\cdot4 \\ A_b=64+8\cdot4 \\ A_b=64+32 \\ A_b=96 \end{gathered}$

Now, as the height is 10, we can calculate the volume as:

$V=A_b\cdot h=96\cdot10=960$

Answer: the volume is 960 cubic units (option H)