Math 7 - Volume and Surface Area of Cylinders and Prisms

Front

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

Back

Volume = length × width × height

Front

How do you calculate the surface area of a rectangular prism?

Back

Surface Area = 2(length × width + width × height + height × length)

Front

What is the formula for the volume of a cylinder?

Back

Volume = πr²h

Front

What is the definition of surface area?

Back

Surface area is the total area of the surface of a three-dimensional shape.

Front

How do you find the surface area of a cylinder?

Back

Surface Area = 2πrh + 2πr²

Front

What does 'r' represent in the formulas for cylinders?

Back

'r' represents the radius of the base of the cylinder.

Front

What does 'h' represent in the formulas for cylinders?

Back

'h' represents the height of the cylinder.

Front

If a cylinder has a radius of 3 inches and a height of 5 inches, what is its volume?

Back

Volume = π(3)²(5) = 45π in³ (approximately 141.37 in³)

Front

What is the surface area of a cylinder with a radius of 4 inches and a height of 10 inches?

Back

Surface Area = 2π(4)(10) + 2π(4)² = 80π + 32π = 112π in² (approximately 351.86 in²)

Front

How much gift wrap is needed to wrap a gift 5 inches long, 8 inches wide, and 10 inches tall?

Back

340 in²