Volume Calculations and Formulas

This video tutorial covers the concept of calculating the volume of rectangular prisms, focusing on using fractional edge lengths. It explains how to calculate the volume of cubes with different edge lengths and compares the results. The tutorial also covers the formula for the volume of rectangular prisms and provides examples of solving real-world volume problems. The lesson includes guided practice with examples to reinforce understanding.

What is the volume of a cube with an edge length of one-third unit?

• 3 cubic units

• 1 cubic unit

• 1/3 cubic units

• 1/27 cubic units

How many smaller cubes with edge length one-third are needed to fill a larger cube with edge length one unit?

• 9

• 27

• 81

• 3

If a cube has an edge length of two-thirds unit, what is its volume?

• 2/3 cubic units

• 8/27 cubic units

• 27/8 cubic units

• 1 cubic unit

What is the volume of a cube with an edge length of three-fourths unit?

• 1 cubic unit

• 27/64 cubic units

• 3/4 cubic units

• 64/27 cubic units

Which formula can be used to find the volume of a rectangular prism?

• Length x Width

• Length x Width x Height

• Width x Height

• Length + Width + Height

Why is it sometimes easier to use improper fractions when calculating volume?

• They are easier to add

• They simplify division

• They are easier to subtract

• They simplify multiplication

What is the volume of a rectangular prism with dimensions 25.5 inches long, 13.5 inches wide, and 16 inches deep?

• 5508 cubic inches

• 30 cubic inches

• 1377 cubic inches

• 243 cubic inches

How do you find the volume of a rectangular swimming pool that is 15 meters long, 10.5 meters wide, and 2.5 meters deep?

• Add length and width

• Add length, width, and height

• Multiply length by width by height

• Multiply length by width

What is the volume of a cube with an edge length of four-fifths unit?

• 1 cubic unit

• 4/5 cubic units

• 64/125 cubic units

• 125/64 cubic units

If a rectangular prism has a base area of 29 square meters and a height of 8 meters, what is its volume?

• 232 cubic meters

• 29 cubic meters

• 8 cubic meters

• 37 cubic meters