Lesson 13: Decomposing Bases for Area | Unit 7: Angles, Triangles, and Prisms

Multiple Choice

You find a crystal in the shape of a prism. Find the volume of the crystal. The point B is directly underneath point E, and the following lengths are known: * From A to B: 2 mm * From B to C: 3 mm * From A to F: 6 mm * From B to E: 10 mm * From C to D: 7 mm * From A to G: 4 mm

• Volume is 20 mm³.
• Volume is 60 mm³.
• Cannot determine volume due to invalid triangle dimensions.
• Volume is 15 mm³.

Open Ended

This carved wooden jewelry box is from Indonesia. The base of the box is an octagon with each side 4.2 cm long. The box is 9 cm tall. What is the volume of the box?

Multiple Choice

What is the volume of this piece?

• 30 cubic inches
• 15 cubic inches
• 25 cubic inches
• 20 cubic inches

Multiple Choice

What is the volume of the other piece not pictured?

• 400 cubic inches
• 800 cubic inches
• 1000 cubic inches
• 600 cubic inches

Draw

Shade in a base of the trapezoidal prism. (The base is not the same as the bottom.)

Multiple Choice

What is the area of the base of the trapezoidal prism shown in the image?

• 40
• 30
• 20
• 50

Multiple Choice

What is the volume of this trapezoidal prism?

• 180
• 120
• 240
• 300

Multiple Choice

The base of a bird feeder is in the shape of a pentagonal prism. Each small square on the grid is $$1\text{ in}^2$$ . The distance between the two bases is 8 in. What will be the volume of the completed bird feeder?

• 56 in³
• 64 in³
• 72 in³
• 48 in³

Multiple Choice

What is the volume of the trapezoidal prism with the given dimensions?

• 300 ft³
• 400 ft³
• 350 ft³
• 250 ft³