Surface Area of Prisms Practice

Front

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

Back

The lateral surface area (LSA) of a prism can be calculated using the formula: LSA = Perimeter of the base × Height of the prism.

Front

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

Back

The total surface area (TSA) of a prism can be calculated using the formula: TSA = Lateral Surface Area + 2 × Area of the base.

Front

What does Capital B represent in the context of prisms?

Back

Capital B stands for the Area of the base of the prism.

Front

How do you calculate the area of a rectangle?

Back

The area of a rectangle can be calculated using the formula: Area = Length × Width.

Front

How do you calculate the area of a triangle?

Back

The area of a triangle can be calculated using the formula: Area = (Base × Height) / 2.

Front

What is the lateral surface area of a rectangular prism with a height of 5 in, length of 10 in, and width of 4 in?

Back

The lateral surface area is calculated as: LSA = (Perimeter of base) × Height = (2 × (10 + 4)) × 5 = 70 in².

Front

What is the lateral surface area of a triangular prism with a base perimeter of 12 cm and height of 6 cm?

Back

The lateral surface area is calculated as: LSA = Perimeter of base × Height = 12 cm × 6 cm = 72 cm².

Front

If a box has a length of 3 ft, width of 2 ft, and height of 4 ft, what is the total surface area?

Back

The total surface area is calculated as: TSA = 2lw + 2lh + 2wh = 2(3×2 + 3×4 + 2×4) = 2(6 + 12 + 8) = 52 ft².

Front

What is the cost of plywood if it costs $0.50 per square foot and the total surface area of the box is 100 ft²?

Back

The cost is calculated as: Cost = Price per square foot × Total surface area = $0.50 × 100 ft² = $50.

Front

What is the perimeter of a triangle with sides measuring 5 cm, 6 cm, and 7 cm?

Back

The perimeter is calculated as: Perimeter = 5 cm + 6 cm + 7 cm = 18 cm.