CPM Homework Help : CC2MN Problem 11-43

Find the volume of the prism at right. All angles are right angles.

Hint:

Find the area of the base (which is the side facing you) and multiply by the height of $5$ mm.

Step 1:

The base can be divided into two rectangles. One that is $15$ mm by $7$ mm and one that is $9$ mm by $3$ mm.

Step 2:

Find the area of each smaller rectangle and add them together.

More Help:

$\text{Volume of a prism = (area of base)(height)}$
Now multiply the area you found for the base by the height to get the total volume of the prism.

Answer:

$660 \text{ mm}^3$

A prism where the base can be drawn as follows in millimeters: 3 right, 3 up, 9 right, 3 down, 3 right, 7 down, 15 left, 7 up to enclose the base. The height of the prism is 5.