the dimensions of a rectangular prism are height 7 feet, width 4 feet and length 3 feet find the surface area
part 2: dimensions of the cylinder are height 7 feet and radius 3.5 feet solve with a decimal then round to the nearest half foot.
part 3 you have 1 gallon of paint that covers 350 square feet. do you have enough paint yes or no prove your answere
1. Two sides are 3 * 4 and four sides are 4 * 7 = ?
2. See your later post for the equation.
3. Which are you painting, or are you painting both?
I didn't really understand but ok
To find the surface area of a rectangular prism, you need to calculate the area of each face and then add them together.
1. The rectangular prism has a height of 7 feet, a width of 4 feet, and a length of 3 feet.
- The surface area of the top and bottom faces (2 rectangles) is equal to the length multiplied by the width: 3 ft * 4 ft = 12 square feet each.
- The surface area of the front and back faces (2 rectangles) is equal to the length multiplied by the height: 3 ft * 7 ft = 21 square feet each.
- The surface area of the left and right faces (2 rectangles) is equal to the width multiplied by the height: 4 ft * 7 ft = 28 square feet each.
Therefore, the total surface area of the rectangular prism is:
Surface area = (2 * 12 sq ft) + (2 * 21 sq ft) + (2 * 28 sq ft) = 24 sq ft + 42 sq ft + 56 sq ft = 122 square feet.
To find the surface area of a cylinder, you need to calculate the areas of the curved surface (lateral area) and the circular base.
2. The cylinder has a height of 7 feet and a radius of 3.5 feet.
- The lateral area (curved surface area) of the cylinder is equal to the circumference of the base multiplied by the height: 2 * π * r * h, where π (pi) is approximately 3.14159.
- The circumference of the base can be calculated using the formula: 2 * π * r.
- The area of the circular base is equal to π * r^2.
First, let's calculate the circumference: 2 * π * 3.5 ft = 22 ft (approximately).
Then, let's calculate the lateral area: 22 ft * 7 ft = 154 square feet (approximately).
Finally, let's calculate the area of the base: π * (3.5 ft)^2 = π * 12.25 ft^2 (approximately).
Therefore, the total surface area of the cylinder is: 154 sq ft + π * 12.25 sq ft (approximately).
For part 3, we will determine if 1 gallon of paint is enough to cover an area of 350 square feet.
3. You have 1 gallon of paint that covers 350 square feet.
To determine whether you have enough paint, divide the area to be covered by the coverage per gallon: 350 sq ft / 1 gallon.
If the result is less than or equal to 1, then you have enough paint. Otherwise, you do not have enough paint.
In this case, 350 sq ft / 1 gallon = 350, which means you do have enough paint to cover the given area of 350 square feet.