Volume and Surface Area of Rectangular Prisms and Cylinders

Front

What is the formula used to find the volume of a rectangular prism?

Back

V = Lwh, where V is volume, L is length, w is width, and h is height.

Front

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

Back

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

Front

What is the formula used to find the volume of a cylinder?

Back

V = πr²h, where V is volume, r is radius, and h is height.

Front

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

Back

Surface Area = 2πr² + 2πrh, where r is radius and h is height.

Front

If a rectangular prism has dimensions of 3 ft, 2 ft, and 5 ft, what is its volume?

Back

Volume = 3 ft * 2 ft * 5 ft = 30 ft³.

Front

If a rectangular prism has dimensions of 4 in, 3 in, and 2 in, what is its surface area?

Back

Surface Area = 2(4*3 + 4*2 + 3*2) = 2(12 + 8 + 6) = 2(26) = 52 in².

Front

What is the relationship between volume and surface area for a rectangular prism?

Back

Volume can be less than, greater than, or equal to surface area depending on the dimensions.

Front

What is the volume of a rectangular prism with a length of 4 in, width of 5 in, and height of 6 in?

Back

Volume = 4 in * 5 in * 6 in = 120 in³.

Front

What is the total surface area of a rectangular prism with dimensions 2 ft, 3 ft, and 4 ft?

Back

Surface Area = 2(2*3 + 2*4 + 3*4) = 2(6 + 8 + 12) = 2(26) = 52 ft².

Front

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

Back

Volume = π(3 cm)²(5 cm) ≈ 141.37 cm³.