Volume and Area Calculations

This video tutorial covers the calculation of the volume of prisms with fractional measurements. It explores how different cube sizes affect the number needed to fill a prism and provides real-world examples and exercises to apply these concepts. The tutorial also includes practical applications and exercises to reinforce learning.

If a cube with an edge length of 1 inch requires 120 cubes to fill a box, how many cubes with an edge length of 2 inches are needed?

• 30

• 120

• 15

• 60

How many 1/3 inch cubes are needed to fill a rectangular prism measuring 3 inches by 1 inch by 1 1/3 inches?

• 144

• 54

• 72

• 108

What is the volume of a fish tank that is 10 feet long, 8 1/4 feet wide, and 6 feet tall?

• 330 cubic feet

• 396 cubic feet

• 495 cubic feet

• 660 cubic feet

If a fish tank is filled to 4/5 of its capacity, what is the volume of water in the tank?

• 330 cubic feet

• 396 cubic feet

• 495 cubic feet

• 264 cubic feet

Will the batter spill over if a pan measuring 9 inches by 9 inches by 2 1/2 inches is used, given the batter volume is 187 cubic inches?

• It will be exactly full

• It depends on the baking time

• Yes, it will spill

• No, it won't spill

What is the area of a rectangle with side lengths of 1/2 and 2/3?

• 1/2

• 1/4

• 1/3

• 1/6

How many 5/12 ft salt licks fit in a box with dimensions 1 1/4 ft by 1 2/3 ft by 5/6 ft?

• 60

• 48

• 36

• 24

What is the volume of a rectangular prism with edge lengths of 2 2/5, 3 1/15, and 2 inches?

• 1920 cubic inches

• 1440 cubic inches

• 720 cubic inches

• 960 cubic inches

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

• 2 1/4

• 3

• 1 1/2

• 2

If a rectangular prism has a volume of 480 cubic feet and two edge lengths are 24 and 15 feet, what is the third edge length?

• 1 1/3 feet

• 2 feet

• 3 feet

• 4 feet