1. The surface area of a cone can be found using the formula: πr² + πrℓ, where r is the radius of the base of the cone, and ℓ is the slant height. Plugging in the values given, we get:
Surface area = π(5m)² + π(5m)(8m)
Surface area = π(25m²) + π(40m²)
Surface area = 25πm² + 40πm²
Surface area ≈ 188.5m²
Therefore, the surface area of the cone is approximately 188.5 square meters.
2. The surface area of a cube can be found using the formula: 6s², where s is the length of one side of the cube. Plugging in the value given, we get:
Surface area = 6(9cm)²
Surface area = 6(81cm²)
Surface area = 486cm²
Therefore, the surface area of the cube is 486 square centimeters.
3. The surface area of a cube can be found using the formula: 6s², where s is the length of one side of the cube. Plugging in the value given, we get:
Surface area = 6(8cm)²
Surface area = 6(64cm²)
Surface area = 384cm²
Therefore, the surface area of the cube is 384 square centimeters.
4. The surface area of a rectangular prism can be found using the formula: 2lw + 2lh + 2wh, where l is the length, w is the width, and h is the height of the prism. Plugging in the values given, we get:
Surface area = 2(6m)(10m) + 2(6m)(7m) + 2(10m)(7m)
Surface area = 120m² + 84m² + 140m²
Surface area = 344m²
Therefore, the surface area of the aquarium is 344 square meters.