Volume Calculations for Fractional Prisms

Maria Miller from mathmoth.com explains how to calculate the volume of right rectangular prisms with fractional edge lengths. She provides examples using cubes with half-centimeter, half-inch, and one-third unit edge lengths, demonstrating that the volume can be calculated by multiplying the fractional dimensions. The video emphasizes that the formula for volume works for both whole numbers and fractions.

What is the main focus of the video tutorial?

• Calculating the area of circles

• Understanding the volume of right rectangular prisms with fractional edge lengths

• Learning about the perimeter of polygons

• Studying the surface area of spheres

If a cube has an edge length of half a centimeter, what is its volume?

• 1/4 cubic cm

• 1/8 cubic cm

• 1/2 cubic cm

• 1 cubic cm

How many cubes are there in the prism with half-centimeter edge lengths?

• 8

• 6

• 10

• 4

What is the volume of the entire prism with 8 cubes?

• 1 cubic cm

• 2 cubic cm

• 1/2 cubic cm

• 1/4 cubic cm

How do you calculate the volume of a single cube with fractional edge lengths?

• By adding the edge lengths

• By subtracting the edge lengths

• By dividing the edge lengths

• By multiplying the edge lengths

In the new example, what is the edge length of each cube?

• 1 inch

• 1/3 inch

• 1/2 inch

• 1/4 inch

How many cubes are there in the prism with half-inch edge lengths?

• 20

• 18

• 15

• 12

What is the total volume of the prism with half-inch edge lengths?

• 3 cubic inches

• 2 and 1/4 cubic inches

• 1 and 1/2 cubic inches

• 2 cubic inches

How do you convert mixed numbers to fractions for volume calculation?

• By multiplying the whole number by the fraction

• By converting the whole number to a fraction and multiplying

• By adding the whole number and fraction

• By converting the whole number to a fraction and adding

In the final example, what is the edge length of each cube?

• 1/2 unit

• 1/3 unit

• 1/4 unit

• 1 unit