Surface Area and Volume of 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

What is a prism?

Back

A solid shape with two identical ends and flat sides. The sides are parallelograms.

Front

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

Back

Volume = (1/2 × base × height of the triangle) × length of the prism.

Front

How do you find the surface area of a triangular prism?

Back

Surface Area = (base area × 2) + (perimeter of base × height of prism).

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

If a prism has a base area of 20 cm² and a height of 5 cm, what is its volume?

Back

Volume = base area × height = 20 cm² × 5 cm = 100 cm³.

Front

What is the perimeter of a triangle with sides 3 cm, 4 cm, and 5 cm?

Back

Perimeter = 3 cm + 4 cm + 5 cm = 12 cm.

Front

What is the surface area of a cube with a side length of 3 cm?

Back

Surface Area = 6 × (side length)² = 6 × (3 cm)² = 54 cm².

Front

What dimensions would give a volume of 24 cubic units for a rectangular prism?

Back

Examples: length = 4 units, width = 3 units, height = 2 units (4 × 3 × 2 = 24).