Volume and Surface Area of Rectangular Prisms

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

If a cube has a side length of 5 cm, what is its surface area?

Back

Surface Area = 6 × (5 cm)² = 150 cm².

Front

If a rectangular prism has a length of 4 cm, width of 3 cm, and height of 2 cm, what is its volume?

Back

Volume = 4 cm × 3 cm × 2 cm = 24 cm³.

Front

What is the surface area of a cube with a side length of 10 inches?

Back

Surface Area = 6 × (10 in)² = 600 in².

Front

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

Back

Add the areas of all six faces: 2(lw + lh + wh).

Front

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

Back

Volume = (3 m)³ = 27 m³.

Front

If a rectangular prism has a volume of 48 cm³ and a height of 4 cm, what is the base area?

Back

Base Area = Volume / Height = 48 cm³ / 4 cm = 12 cm².

Front

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

Back

Surface area measures the total area of the prism's faces, while volume measures the space inside the prism.

Front

If a rectangular prism has a length of 5 cm, width of 4 cm, and height of 3 cm, what is its surface area?

Back

Surface Area = 2(5 cm × 4 cm + 5 cm × 3 cm + 4 cm × 3 cm) = 62 cm².