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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

2 The model shown below is a composite of tworectangular prismsWhat is the volume-example-1
User Samir Sheikh
by
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1 Answer

9 votes
9 votes

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)

2 The model shown below is a composite of tworectangular prismsWhat is the volume-example-1
User Marco Staffoli
by
2.8k points