Volume and Surface Area of Rectangular Prisms and Cylinders

Front

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

Back

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

Front

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

Back

Volume = l × w × h, where l = length, w = width, h = height.

Front

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

Back

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

Front

What is the formula for the volume of a cylinder?

Back

Volume = πr²h, where r = radius, h = height.

Front

If a rectangular prism has a length of 5 m, width of 2 m, and height of 3 m, what is its volume?

Back

Volume = 5 × 2 × 3 = 30 m³.

Front

If a cylinder has a radius of 4 cm and a height of 10 cm, what is its volume?

Back

Volume = π(4)²(10) ≈ 502.65 cm³.

Front

What is the difference between surface area and volume?

Back

Surface area measures the total area of the surface of a 3D object, while volume measures the amount of space inside the object.

Front

How do you find the surface area of a rectangular prism with dimensions 4 m, 3 m, and 8 m?

Back

Surface Area = 2(4*3 + 4*8 + 3*8) = 136 m².

Front

What is the surface area of a cylinder with a radius of 3 m and height of 5 m?

Back

Surface Area = 2π(3)(5 + 3) ≈ 150.8 m².

Front

If a rectangular prism has a volume of 64 in³ and a height of 4 in, what is the base area?

Back

Base Area = Volume / Height = 64 in³ / 4 in = 16 in².