Volume and Area Calculations

This video tutorial reviews grade six practice problems on the volume of prisms, focusing on using fractions. It covers calculating the volume of a rectangular prism filled with water, determining how many cubes fit in a prism, and using cube volume to find total prism volume. The tutorial also explains calculating the area of triangles using right angles and compares the volume of salt licks to a cubic foot, including how many fit in a box.

What is the volume of water in a pool with a length of 24 feet, width of 15 feet, and height of 1 and 1/3 feet?

• 600 cubic feet

• 540 cubic feet

• 480 cubic feet

• 360 cubic feet

Why does it take fewer cubes with edge lengths of 2/5 inch to fill a prism compared to cubes with edge lengths of 1/5 inch?

• Because both cubes are the same size

• Because 1/5 inch cubes are larger

• Because 2/5 inch cubes are larger

• Because 2/5 inch cubes are smaller

How many 1/5 inch cubes fit along the side of a prism measuring 2 and 2/5 inches?

• 10 cubes

• 16 cubes

• 12 cubes

• 14 cubes

What is the volume of a prism if it contains 1920 cubes, each with a volume of 1/125 cubic inches?

• 15 and 9/20 cubic inches

• 18 and 2/5 cubic inches

• 16 and 1/4 cubic inches

• 17 and 3/5 cubic inches

How do you calculate the area of a triangle with a base of 3/4 and a height of 1?

• 3/4 square units

• 1 square unit

• 3/8 square units

• 1/2 square units

What is the height of a triangle with an area of 3/8 and a base of 5/4?

• 3/5

• 6/7

• 4/5

• 5/6

Is the volume of a salt lick with edge lengths of 5/12 foot greater or less than one cubic foot?

• Greater than one cubic foot

• Less than one cubic foot

• Cannot be determined

• Equal to one cubic foot

How many salt licks with edge lengths of 5/12 foot fit in a box measuring 1 and 1/4 feet by 1 and 2/3 feet by 5/6 foot?

• 24 cubes

• 20 cubes

• 18 cubes

• 22 cubes

How many groups of 1/3 inch are in 3/4 inches?

• 2 and 1/2

• 2 and 3/4

• 3

• 2 and 1/4

What is the equivalent ratio of flour to water if 1/2 cup of flour is multiplied by 4?

• 2 cups

• 1 cup

• 4 cups

• 3 cups