The surface area of a cube is found by adding together the surface area of all six sides.
Since all sides of a cube are equal, the surface area formula for a cube with side length "s" is 6s^2.
Therefore, for a cube with sides measuring 11 meters, the surface area would be 6(11)^2 = 6(121) = 726 m².
Therefore, the correct answer is 726 m².
Find the surface area of a cube with sides measuring 11 meters
121 m²
726 m²
132 m²
66 m²
5 answers
Cherease needs to buy some cardboard to build a box 10 inches long, 9 inches wide, and 7 inches high. If she purchases 500 square inches of cardboard, how much will she have left over?
446 in²
426 in²
54 in²
406 in²
446 in²
426 in²
54 in²
406 in²
First, let's calculate the surface area of the box.
The box has six sides: two sides measuring 10 inches by 9 inches, two sides measuring 10 inches by 7 inches, and two sides measuring 9 inches by 7 inches.
Surface Area = 2(10*9) + 2(10*7) + 2(9*7)
Surface Area = 180 + 140 + 126
Surface Area = 446 square inches
If Cherease purchases 500 square inches of cardboard and the box requires 446 square inches, she will have 500 - 446 = 54 square inches left over.
Therefore, the correct answer is 54 in².
The box has six sides: two sides measuring 10 inches by 9 inches, two sides measuring 10 inches by 7 inches, and two sides measuring 9 inches by 7 inches.
Surface Area = 2(10*9) + 2(10*7) + 2(9*7)
Surface Area = 180 + 140 + 126
Surface Area = 446 square inches
If Cherease purchases 500 square inches of cardboard and the box requires 446 square inches, she will have 500 - 446 = 54 square inches left over.
Therefore, the correct answer is 54 in².
A wedge of cheese is shaped like a triangular prism. How much plastic wrap is needed to cover the wedge of cheese?
339 cm²
240 cm²
287 cm²
810 cm²
339 cm²
240 cm²
287 cm²
810 cm²
To calculate the amount of plastic wrap needed to cover the wedge of cheese, we need to find the surface area of the wedge.
A triangular prism has 5 faces: two triangles and three rectangles.
Let's assume the following:
- The base of the triangular prism is a right triangle with legs measuring 10 cm and 15 cm.
- The height of the prism is 20 cm.
1. Calculate the area of the two triangular bases:
Base area = 0.5 * base * height
Base area = 0.5 * 10 cm * 15 cm
Base area = 75 cm² (for each triangle base)
2. Calculate the area of the three rectangular sides:
Side area = perimeter of triangle base * height of prism
Side area = (10 cm + 15 cm + √(10²+15²)) * 20 cm
Side area = (25 cm + √325) * 20 cm
Side area ≈ (25 cm + 18 cm) * 20 cm
Side area ≈ 43 cm * 20 cm
Side area ≈ 860 cm² (for each rectangular side)
Total side area = 3 * 860 cm² = 2580 cm²
3. Calculate the total surface area of the wedge:
Total surface area = 2 * Base area + Total side area
Total surface area = 2 * 75 cm² + 2580 cm²
Total surface area = 150 cm² + 2580 cm²
Total surface area = 2730 cm²
Therefore, the correct amount of plastic wrap needed to cover the wedge of cheese is approximately 2730 cm².
Since this option is not provided, none of the given options are correct.
A triangular prism has 5 faces: two triangles and three rectangles.
Let's assume the following:
- The base of the triangular prism is a right triangle with legs measuring 10 cm and 15 cm.
- The height of the prism is 20 cm.
1. Calculate the area of the two triangular bases:
Base area = 0.5 * base * height
Base area = 0.5 * 10 cm * 15 cm
Base area = 75 cm² (for each triangle base)
2. Calculate the area of the three rectangular sides:
Side area = perimeter of triangle base * height of prism
Side area = (10 cm + 15 cm + √(10²+15²)) * 20 cm
Side area = (25 cm + √325) * 20 cm
Side area ≈ (25 cm + 18 cm) * 20 cm
Side area ≈ 43 cm * 20 cm
Side area ≈ 860 cm² (for each rectangular side)
Total side area = 3 * 860 cm² = 2580 cm²
3. Calculate the total surface area of the wedge:
Total surface area = 2 * Base area + Total side area
Total surface area = 2 * 75 cm² + 2580 cm²
Total surface area = 150 cm² + 2580 cm²
Total surface area = 2730 cm²
Therefore, the correct amount of plastic wrap needed to cover the wedge of cheese is approximately 2730 cm².
Since this option is not provided, none of the given options are correct.