Volume and Surface Area of Rectangular and Triangular Prisms

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(length × width + length × height + width × height)

Front

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

Back

Volume = (Base Area × height) where Base Area = (1/2 × base × height of triangle)

Front

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

Back

Surface Area = (Base Perimeter × height) + (2 × Base Area)

Front

What is the difference between area and volume?

Back

Area measures the surface of a shape (square units), while volume measures the space inside a 3D object (cubic units).

Front

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

Back

Volume = 5 cm × 3 cm × 4 cm = 60 cubic cm

Front

If a triangular prism has a base of 6 cm, height of the triangle 4 cm, and height of the prism 10 cm, what is its volume?

Back

Volume = (1/2 × 6 cm × 4 cm) × 10 cm = 120 cubic cm

Front

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

Back

Surface Area = 2(2m × 3m + 2m × 4m + 3m × 4m) = 2(6 + 8 + 12) = 52 m²

Front

What is the surface area of a triangular prism with a base of 5 cm, height of the triangle 3 cm, and height of the prism 7 cm?

Back

Surface Area = (Base Perimeter × height) + (2 × Base Area) = (5 + 3 + 4) × 7 + 2 × (1/2 × 5 × 3) = 12 × 7 + 15 = 84 cm²

Front

What is the base area of a triangle with a base of 10 cm and height of 5 cm?

Back

Base Area = (1/2 × base × height) = (1/2 × 10 cm × 5 cm) = 25 cm²