Volume Calculations for Prisms

This video tutorial covers the concept of volume, focusing on calculating the volume of different prisms and cylinders. It begins with a simple explanation of volume using a rectangular prism, emphasizing that the order of dimensions does not affect the result. The tutorial then explores the volume of other prisms, such as triangular and trapezoidal prisms, by finding the area of the base and multiplying by the height. Advanced calculations for complex prism shapes are discussed, followed by volume calculations for cylinders and special cases. The tutorial concludes with a practical example involving a pool and a garden hose.

What is the formula for calculating the volume of a rectangular prism?

• Length + Width + Height

• 2 × (Length + Width + Height)

• Length × Width × Height

• Length × Width

When calculating the volume of a rectangular prism, what unit should be used?

• Linear units

• Square units

• Cubic units

• None of the above

How do you find the volume of a prism with a triangular base?

• 1/2 × Base area × Height

• Base area × Height × 2

• Base area × Height

• Base area + Height

What is the area of a triangular base with a base of 12 and height of 7.3?

• 43.8

• 87.6

• 21.9

• 58.4

How do you calculate the volume of a trapezoidal prism?

• Base area × Height

• 1/2 × (Base1 + Base2) × Height

• Base1 × Base2 × Height

• Base1 + Base2 + Height

What is the volume of a trapezoidal prism with bases 36 and 14, height 17.9, and distance between bases 25?

• 1187.5 cubic centimeters

• 1187.5 meters

• 1187.5 square meters

• 1187.5 cubic meters

What is the formula for calculating the volume of a cylinder?

• πr²h/2

• πr²

• πr²h

• 2πrh

If a cylinder has a radius of 18 and height of 15, what is its volume?

• 15268.1 cubic inches

• 15268.1 square inches

• 15268.1 inches

• 15268.1 cubic feet

How do you find the volume of a pool with a radius of 13.5 and depth of 4 feet?

• πr²h/2

• 2πrh

• πr²

• πr²h

If a garden hose has a flow rate of 80 cubic feet per hour, how long will it take to fill a pool with a volume of 2286 cubic feet?

• 35 hours

• 25 hours

• 30 hours

• 28.6 hours