Area and Surface Formulas Worksheets Grade 7

1. Ava is building a decorative garden shed with a unique roof. The roof is a square pyramid. The square base of the pyramid has a side length of 6 meters, and each triangular face has a slant height of 11 meters. Ava needs to cover the entire roof (all four triangular faces and the square base) with weatherproof shingles. What is the total surface area of the roof in square meters?
2. Aroha is painting a cylindrical storage tank. The tank has a radius of 9 cm and a height of 15 cm. What is the total surface area of the tank? (Use π = 3.14)
3. A cylinder has a radius of 14 cm and a height of 25 cm. Calculate its total surface area. (Use π = 22/7)

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1. Aroha is painting a cylindrical water tank for a community art project. The tank has a radius of 1.5 meters and a height of 3.2 meters. She needs to paint the curved side and the top circular lid, but not the bottom. What is the total surface area she needs to paint in square meters? Use π ≈ 3.14 and round your answer to the nearest tenth.
2. A cylinder has a radius of 5 cm and a height of 20 cm. Calculate its total surface area. (Use π = 3.14)
3. A rectangular prism has dimensions 24 cm × 18 cm × 12 cm. Calculate its surface area.

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1. A rectangular prism-shaped shipping container has dimensions 12 meters long, 8 meters wide, and 5 meters high. The company needs to paint the entire exterior surface, including the bottom. What is the total surface area in square meters that needs to be painted?
2. A rectangular prism has length 12 cm, width 8 cm, and height 6 cm. Calculate its surface area.
3. Emma is designing a new packaging box for her artisanal candles. The box is shaped like a rectangular prism with dimensions 24 cm long, 18 cm wide, and 12 cm high. She needs to calculate the total surface area to determine how much decorative wrapping paper she needs to cover the entire box. What is the total surface area of the box in square centimeters?

…and 1 more problems