Volume and Capacity of Prisms

Mrs. Becker introduces volume and its measurement in cubic units, explaining the concept of prisms and their properties. The lesson includes exercises on calculating volume using unit cubes, with examples involving miniature dice and 1/4 inch cubes. Students are guided through exercises and given homework to reinforce the concepts learned.

What is the primary difference between volume and area?

• Volume is measured in square units, while area is in cubic units.

• Volume and area are both measured in cubic units.

• Volume is the space inside a 3D figure, while area is the space inside a 2D figure.

• Volume is the space inside a 2D figure, while area is the space inside a 3D figure.

How many 1-inch cubes can fit in a rectangular prism with a base of 10 inches by 4 inches and a height of 6 inches?

• 480 cubes

• 120 cubes

• 240 cubes

• 360 cubes

If a prism can hold 240 cubes, how many more cubes can a second prism hold if it can fit 480 cubes?

• 480 more cubes

• 120 more cubes

• 240 more cubes

• 360 more cubes

When using 1/2 inch cubes, how does the number of cubes that fit in a prism change compared to using 1-inch cubes?

• It quadruples.

• It triples.

• It remains the same.

• It doubles.

How many 1/4 inch cubes are needed to fill a prism if the volume is calculated to be 360 cubes?

• 360 cubes

• 180 cubes

• 90 cubes

• 720 cubes

What is the volume of a prism with dimensions 5 1/3 cm, 2/3 cm, and 1 1/3 cm?

• 256/27 cm³

• 64/27 cm³

• 128/27 cm³

• 32/27 cm³

Which cube size would best fit a prism with dimensions in thirds?

• 1 cm

• 1/3 cm

• 1/4 cm

• 1/2 cm

How many 1/3 cm cubes fit in a prism with dimensions 5 1/3 cm, 2/3 cm, and 1 1/3 cm?

• 256 cubes

• 128 cubes

• 64 cubes

• 512 cubes

What is the volume of a larger box that can hold 1512 small toy boxes, each with a volume of 1/8 inch³?

• 378 inches³

• 756 inches³

• 189 inches³

• 1512 inches³

For homework, what method should be used to calculate volume without a calculator?

• Using only whole numbers for calculations.

• Using a calculator for all calculations.

• Converting mixed numbers to improper fractions and multiplying.

• Estimating the volume visually.