Lateral Area Practice
Calculate the lateral surface area of various 3D shapes including prisms, cylinders, and pyramids.
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Lateral Area Practice
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Read each question carefully and calculate the lateral surface area for each 3D shape. Remember to include units in your answers.
1. Calculate the lateral area of a rectangular prism with a length of 8 cm, a width of 5 cm, and a height of 10 cm.
2. A gift box is a rectangular prism with a base perimeter of 40 inches and a height of 6 inches. What is its lateral surface area?
3. Find the lateral area of a cylinder with a radius of 7 meters and a height of 12 meters. Use \(\pi \approx 3.14\).
4. A cylindrical can has a diameter of 10 cm and a height of 15 cm. What is its lateral surface area? Use \(\pi \approx 3.14\).
5. The lateral area of a square pyramid is found by multiplying half the perimeter of the base by the .
6. A triangular pyramid has a base perimeter of 24 feet and a slant height of 8 feet. Its lateral area is square feet.
7. Which formula represents the lateral area of a cylinder?
\(2\pi r h\)
\(\pi r^2 h\)
\(2\pi r^2 + 2\pi r h\)
\(lwh\)
8. What is the lateral area of a cube with side length 6 inches?
36 sq in
144 sq in
216 sq in
108 sq in
9. The lateral surface area of a prism includes the area of its bases.
True
False
10. The lateral area of a cone requires knowing its slant height.
True
False