13.1: Are These Prisms?

Which of these solids are prisms? Explain how you know.

For each of the prisms, what does the base look like?
 Shade one base in the picture.

Draw a cross section of the prism parallel to the base.
Let’s look at how some people use volume.
Which of these solids are prisms? Explain how you know.
For each of the prisms, what does the base look like?
A box of chocolates is a prism with a base in the shape of a heart and a height of 2 inches. Here are the measurements of the base.
To calculate the volume of the box, three different students have each drawn line segments showing how they plan on finding the area of the heartshaped base.
Return their work. Calculate the volume of the box of chocolates.
A houseshaped prism is created by attaching a triangular prism on top of a rectangular prism.
Draw the base of this prism and label its dimensions.
To find the area of any polygon, you can decompose it into rectangles and triangles. There are always many ways to decompose a polygon.
Sometimes it is easier to enclose a polygon in a rectangle and subtract the area of the extra pieces.
To find the volume of a prism with a polygon for a base, you find the area of the base, $B$, and multiply by the height, $h$.
$$V = Bh$$