1. The new poster has a length of 72 - 6 = 66 centimeters and a width of 15 - 3 = 12 centimeters. The area of the new poster is 66 x 12 = 792 square centimeters.
2. The area of the right triangle is (1/2) x 4.25 x 11 = 23.375 square inches.
3. To find the area of the non-right triangle, we need to find the length of the base and the height. The base has a length of (10 - 1) + (10 - 6) = 13. The height is the distance from the base to the vertex at the top of the triangle. To find the height, we can draw a perpendicular line from the top vertex to the base. This line has a length of 5. Therefore, the area of the triangle is (1/2) x 13 x 5 = 32.5 square units.
4. The area of a parallelogram is given by the formula A = base x height. In this case, the base is 16 inches and the height is 12 inches, so the area of the quadrilateral is 16 x 12 = 192 square inches.
5. To find the area of the polygon, we can split it up into two rectangles and two right triangles. The area of the two rectangles is (3 + 5 + 6) x 3 = 42. The area of the two right triangles is (1/2) x 3 x 5 + (1/2) x 6 x 3 = 9. Therefore, the area of the polygon is 42 + 9 = 51 square units.
6. To find the area of the parallelogram-shaped swimming pool, we can compose a rectangle with a length of 12 feet and a width of 7 inches (the perpendicular height). The area of this rectangle is 12 x 7 = 84 square feet.
7. To find the area of the shape, we need to decompose it into its component polygons. The rectangle has an area of 3 x 6 = 18 square inches. Each trapezoid has a height of 1 inch and an average of (3 + 6) / 2 = 4.5 for its two bases. Therefore, the area of each trapezoid is (1/2) x 1 x 4.5 = 2.25 square inches. There are two trapezoids, so their total area is 4.5 square inches. Finally, each square has an area of 3 x 1 = 3 square inches. There are two squares, so their total area is 6 square inches. Adding up all the areas gives a total of 18 + 4.5 + 6 = 28.5 square inches.
8. The area of the triangular head of the arrow is (1/2) x 2 x 5 = 5 square feet. The area of the rectangle is 4 x 2 = 8 square feet. Therefore, the total area of the painted arrow is 5 + 8 = 13 square feet.
9. The volume of the rectangular prism is given by the formula V = lwh. Plugging in the given values, we get V = 240 x 24 x 8 = 46,080 cubic centimeters.
10. The volume of the rectangular prism packed with 10 unit cubes is 10 x (13^3) = 27,950 cubic meters. The edge lengths of the original prism are 12 m, 14 m, and 54 m, so their product is 12 x 14 x 54 = 9,072 cubic meters. As expected, this is the same as the volume found using the unit cubes. Therefore, the volume of the original prism is 9,072 cubic meters.
11. Using the formula V = lwh, we get V = 423 x 313 x 212 = 29,267,964 cubic feet.
12. Using the formula V = lwh, we get V = 334 x 212 x 212 = 15,053,888 cubic feet. This simplifies to 14,999,000 + 54,888/3 cubic feet, or 14,999,000 and 2/3 cubic feet.
13. Using the formula V = Bh, we get V = 714 x 1012 x 1225 = 1,007,535,000 cubic meters. This simplifies to 937,500,000 + 70,035,000/3 cubic meters, or 937,500,000 and 23,345,000/3 cubic meters. just give me the answers for each one
1. 792 square centimeters
2. 23.375 square inches
3. 32.5 square units
4. 192 square inches
5. 51 square units
6. 84 square feet
7. 28.5 square inches
8. 13 square feet
9. 46,080 cubic centimeters
10. 9,072 cubic meters
11. 29,267,964 cubic feet
12. 14,999,000 and 2/3 cubic feet
13. 937,500,000 and 23,345,000/3 cubic meters