Volume of Prisms & Cylinders

64 in³

12 in³

16 in³

376.8 cm cubed

3,014.4 cm cubed

4,011.7 cm cubed

3625.5 cm. cubed

128.6 units³

1,286.1 units³

401.9 units³

5,144.6 units³

16 cubic cm

36 cubic cm

144 cubic cm

124.6 in³

87.9 in³

97.5 in³

78.9 in³

1120 ft ³

600 ft ³

560 ft ³

64 ft ³

True

False

V = 2Bh

V = ½Bh

V = Bh

V = Bh²

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.

648cm³

324cm³

756cm³

576cm³

432cm³

576cm³

216cm³

720cm³

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.

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.

$$inches^2$$

$$meters^3$$

$$centimeters$$

$$\pi$$

area of the base

the area of a rectangle

the length of the bottom of the 3-D figure

the area of a triangle

rectangle

triangle

square

circle

Container A

Container B

The volume of the cylinders are the same.

$$lwh$$

$$2\pi r$$

$$\pi r^2$$

$$\pi r^2h$$