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# Volume and Surface Area of Prisms and Cylinders Quiz

Test your knowledge on finding the volume and surface area of prisms and cylinders with this quiz. Explore the formulas and principles developed in the earlier module and see how well you understand them.

Created by
@BeneficialFantasy

## Questions and Answers

### Which formula is used to find the volume of a prism or a cylinder?

Volume of a prism = Ah

### What is the formula for finding the volume of a cylinder?

Volume of a cylinder = πr2h

### How is the surface area of a prism defined?

Sum of the areas of all its faces

### What is the formula for finding the surface area of a cylinder?

<p>Surface area of a cylinder = 2πrh</p> Signup and view all the answers

### What is the main difference between prisms and solids like pyramids, cones, and spheres?

<p>Prisms have uniform cross sections</p> Signup and view all the answers

## Study Notes

### Volume of Prisms and Cylinders

• The formula to find the volume of a prism or a cylinder is V = Bh, where V is the volume, B is the base area, and h is the height.
• This formula applies to both prisms and cylinders because they have two identical bases and a same height.

### Volume of a Cylinder

• The formula to find the volume of a cylinder is V = πr²h, where V is the volume, π (pi) is a mathematical constant, r is the radius of the base, and h is the height.

### Surface Area of Prisms

• The surface area of a prism is defined as the sum of the areas of its faces, including the two bases and the lateral faces.
• The formula for surface area varies depending on the type of prism, but it typically involves finding the area of each face and adding them together.

### Surface Area of Cylinders

• The formula to find the surface area of a cylinder is SA = 2πr(h + r), where SA is the surface area, π (pi) is a mathematical constant, r is the radius of the base, and h is the height.

### Prisms vs Other Solids

• The main difference between prisms and solids like pyramids, cones, and spheres is that prisms have two identical bases, while the other solids have only one base and taper to a point or curve.

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