Volume of Prisms & Cylinders

Volume of Prisms & Cylinders

By Deb Scott

Multiple Choice

Calculate the volume of a cube with side lengths of 4 inches.

• 64 in³

• 12 in³

• 16 in³

Multiple Choice

Find the volume of the figure:

• 376.8 cm cubed

• 3,014.4 cm cubed

• 4,011.7 cm cubed

• 3625.5 cm. cubed

Multiple Choice

Find the volume of the figure. Round to the nearest tenth.

• 128.6 units³

• 1,286.1 units³

• 401.9 units³

• 5,144.6 units³

Multiple Choice

What is the volume of this prism?

• 16 cubic cm

• 36 cubic cm

• 144 cubic cm

Multiple Choice

Find the volume of the cylinder. Round your answers to the nearest tenth if necessary. Use 3.14 for π.

• 124.6 in³

• 87.9 in³

• 97.5 in³

• 78.9 in³

Multiple Choice

Calculate the volume:

• 1120 ft ³

• 600 ft ³

• 560 ft ³

• 64 ft ³

Multiple Choice

The volume formulas of a cylinder and prism are the SAME.

• True

• False

Multiple Choice

The volume formula of a prism is...

• V = 2Bh

• V = ½Bh

• V = Bh

• V = Bh²

Multiple Select

Sheila believes that the two cylinders shown in the diagram below have equal volumes. Is Sheila correct or incorrect? Select ALL that apply.

• Sheila is incorrect. The volumes of both cylinders are not equal.

• Sheila is incorrect. One of the cylinders is tilted.

• Sheila is correct. When two cylinders have the same base areas and the same height, their volumes must be the same.

• Sheila is correct. Both cylinders radii and height are equal, so their volumes are the same.

• Sheila is correct. Using Cavalieri’s Principle and the formula $$v=Bh$$ or $$v=\pi r^2h$$ proves the volumes of the cylinders are equal.

Fill in the Blanks

Multiple Choice

Find the area of the prism

• 648cm³

• 324cm³

• 756cm³

• 576cm³

Multiple Choice

Find the volume of the prism

• 432cm³

• 576cm³

• 216cm³

• 720cm³

Multiple Choice

What is volume?

• The distance around a 2-D shape.

• The sum of all the areas of all the shapes that cover the surface of the object.

• The amount of space, measured in cubic units, that an object occupies.

• The distance around a circle.

Multiple Choice

Which real-world situation best represents an example of volume?

• The amount of soup in a can.

• The amount of cardboard it takes to make an Fed Ex box.

• A fence that encompasses a circular garden.

• A rectangular rug that covers the floor.

Multiple Choice

Which unit would you use to label the answer to a volume question?

• $$inches^2$$

• $$meters^3$$

• $$centimeters$$

• $$\pi$$

Multiple Choice

What does the capital B in the formula V=Bh, stand for?

• area of the base

• the area of a rectangle

• the length of the bottom of the 3-D figure

• the area of a triangle

Multiple Choice

What shape is the base of this figure?

• rectangle

• triangle

• square

• circle

Multiple Choice

Which cylinder has a larger volume?

• Container A

• Container B

• The volume of the cylinders are the same.

Multiple Choice

Which formula is used to find the volume of a cylinder?

• $$lwh$$

• $$2\pi r$$

• $$\pi r^2$$

• $$\pi r^2h$$