Volume Calculations and Prisms

The video tutorial explains how to calculate the volume of various geometric shapes using formula sheets. It covers spheres, cones, cylinders, rectangular prisms, pyramids, and prisms, providing practical examples like basketballs, ice cream cones, barrels, boxes, and pyramids. The tutorial emphasizes using the correct formulas and understanding the relationship between diameter, radius, and height in these calculations. It also highlights the importance of converting between approximate and exact answers using a calculator.

What is the first step in finding the volume of any shape on the GED?

• Use a calculator

• Identify the shape

• Refer to the formula sheet

• Measure the dimensions

What shape is a basketball considered for volume calculation?

• Sphere

• Cube

• Cylinder

• Cone

What is the formula for the volume of a sphere?

• 1/3 πr²h

• πr²h

• 4/3 πr³

• l × w × h

What does the power of 3 represent in volume calculations?

• A square

• A cube

• A circle

• A rectangle

What is the formula for the volume of a cone?

• 1/3 πr²h

• l × w × h

• πr²h

• 4/3 πr³

How do you find the radius if given the diameter?

• Multiply by 2

• Divide by 2

• Subtract 2

• Add 2

What is the volume of a cylinder with a radius of 0.85 and height of 2.5?

• 8.90

• 5.67

• 7.89

• 6.78

How do you calculate the volume of a rectangular prism?

• Divide width by height

• Subtract length from width

• Multiply length, width, and height

• Add length, width, and height

How many cookies, each half a cubic inch, fit into a box with a volume of 288 cubic inches?

• 144

• 288

• 432

• 576

What is the formula for the volume of a pyramid?

• 1/3 × base area × height

• base area × height

• πr²h

• 4/3 πr³