SOL 7.MG.1 Surface area and Volume

Front

What is the formula for the volume of a cylinder?

Back

Volume = πr²h, where r is the radius and h is the height.

Front

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

Back

Surface Area = 2πr(h + r), where r is the radius and h is the height.

Front

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

Back

Volume = length × width × height.

Front

What is the formula for the surface area of a rectangular prism?

Back

Surface Area = 2(lw + lh + wh), where l is length, w is width, and h is height.

Front

What is the difference between volume and surface area?

Back

Volume measures the space inside a 3D object, while surface area measures the total area of the object's outer surface.

Front

How do you calculate the volume of a cylinder with a radius of 3 inches and a height of 5 inches?

Back

Volume = π(3²)(5) = 45π ≈ 141.37 cubic inches.

Front

If a rectangular prism has dimensions 4 inches, 5 inches, and 6 inches, what is its surface area?

Back

Surface Area = 2(4*5 + 4*6 + 5*6) = 2(20 + 24 + 30) = 2(74) = 148 square inches.

Front

What is the volume of a cube with a side length of 3 inches?

Back

Volume = side³ = 3³ = 27 cubic inches.

Front

What is the surface area of a cube with a side length of 2 inches?

Back

Surface Area = 6 × side² = 6 × 2² = 24 square inches.

Front

How do you find the total surface area of a cylinder?

Back

Add the lateral surface area (2πrh) to the area of the two bases (2πr²).