My answers will be posted 2!
1. Dimensions of the cube is 5x3x1
a. What is the surface area? ( i said 46ft squared )
b. What is the # of cubes? ( I said 15 )
2. Dimensions are 5x3x2
a. Surface area? ( 62ft squared )
b. # of cubes? ( 30 )
3. Dimensions are 5x3x5
a. Surface area? ( 110ft squared )
b. # of cubes? ( 75 )
23.The dimensions of the recreation center floor are 150ft by 45ft. The walls are 10ft high. A gallon of paint will cover 400ft squared. About how much paint is needed to paint the walls of the recreation center?
( I said 43 1/2 gallons )
plz help and thanks!!! :)
1. For the dimensions of a cube of 5x3x1:
a. To find the surface area, we need to calculate the area of each face and add them together. Since a cube has six faces, we can calculate the surface area by multiplying the length of one side by the length of one side and then multiplying by 6:
5 * 3 * 1 * 6 = 90 square feet. So, the correct surface area is 90 square feet, not 46 square feet.
b. To find the number of cubes, we need to divide the total volume of the cube by the volume of one individual cube. The volume of a cube can be calculated by multiplying the length of one side by itself twice:
5 * 3 * 1 = 15 cubic feet. So, the number of cubes is 15, not 15 square feet.
2. For the dimensions of a cube of 5x3x2:
a. To find the surface area, we use the same method as before:
5 * 3 * 2 * 6 = 180 square feet. So, the correct surface area is 180 square feet, not 62 square feet.
b. To find the number of cubes:
5 * 3 * 2 = 30 cubic feet. So, the correct number of cubes is 30, not 30 square feet.
3. For the dimensions of a cube of 5x3x5:
a. To find the surface area:
5 * 3 * 5 * 6 = 450 square feet. So, the correct surface area is 450 square feet, not 110 square feet.
b. To find the number of cubes:
5 * 3 * 5 = 75 cubic feet. So, the correct number of cubes is 75, not 75 square feet.
23. To calculate the amount of paint needed to paint the walls of the recreation center:
First, we need to find the total surface area of the walls. Since the walls are 10 feet high, the total surface area can be calculated by multiplying the height of the walls by the perimeter of the recreation center floor:
10 * (150 + 45 + 150 + 45) = 10 * 390 = 3,900 square feet.
Next, we divide the total surface area by the coverage of one gallon of paint:
3,900 / 400 = 9.75 gallons.
Therefore, about 9.75 gallons of paint is needed to paint the walls of the recreation center, not 43.5 gallons.
1a. To find the surface area of a cube, you need to find the area of each face and then add them together. Since a cube has 6 faces and all sides are equal, you can use the formula A = 6s^2, where s is the length of the side. In this case, the length of each side is 5 ft.
Surface Area = 6s^2 = 6 * 5^2 = 6 * 25 = 150 ft^2
Therefore, the surface area of the cube is 150 ft^2. So, your answer of 46 ft^2 is incorrect.
1b. To find the number of smaller cubes that can fit inside a larger cube, you need to divide the volume of the larger cube by the volume of the smaller cube. In this case, you haven't mentioned the dimensions of the smaller cubes, so I can't calculate the exact number. However, if the dimensions of the smaller cubes are 1x1x1 ft, then the volume of each smaller cube is 1 ft^3.
Volume of larger cube = 5x3x1 = 15 ft^3
Volume of smaller cube = 1x1x1 = 1 ft^3
Number of cubes = Volume of larger cube / Volume of smaller cube = 15 ft^3 / 1 ft^3 = 15 cubes
Therefore, the number of cubes would be 15. So, your answer is correct.
2a. Using the same formula mentioned earlier, you can find the surface area of the cube with dimensions 5x3x2.
Surface Area = 6s^2 = 6 * 5^2 = 6 * 25 = 150 ft^2
Therefore, the surface area of the cube is 150 ft^2. Your answer of 62 ft^2 is incorrect.
2b. Similarly, to find the number of cubes, if the dimensions of the smaller cubes are 1x1x1 ft, you can use the formula:
Number of cubes = Volume of larger cube / Volume of smaller cube = (5x3x2) ft^3 / (1x1x1) ft^3 = 30 cubes
Therefore, the number of cubes would be 30. So, your answer is correct.
3a. Following the same procedure, you can find the surface area of the cube with dimensions 5x3x5.
Surface Area = 6s^2 = 6 * 5^2 = 6 * 25 = 150 ft^2
Therefore, the surface area of the cube is 150 ft^2. Your answer of 110 ft^2 is incorrect.
3b. Using the same formula for the number of cubes, if the dimensions of the smaller cubes are 1x1x1 ft, you can calculate:
Number of cubes = Volume of larger cube / Volume of smaller cube = 5x3x5 ft^3 / 1x1x1 ft^3 = 75 cubes
Therefore, the number of cubes would be 75. So, your answer is correct.
23. The dimensions of the recreation center floor are 150ft by 45ft, with walls that are 10ft high. To find the surface area of the walls, you need to calculate the perimeter of the floor and multiply it by the height of the walls.
Perimeter of the floor = 2 * (Length + Width) = 2 * (150ft + 45ft) = 2 * 195ft = 390ft
Surface area of the walls = Perimeter of the floor * Height of the walls = 390ft * 10ft = 3900ft^2
Since a gallon of paint covers 400ft^2, divide the surface area of the walls by the coverage of one gallon of paint.
Amount of paint needed = Surface area of the walls / Coverage of one gallon of paint = 3900ft^2 / 400ft^2 ≈ 9.75 gallons
Therefore, about 9.75 gallons of paint would be needed to paint the walls of the recreation center. So, your answer of 43 1/2 gallons is incorrect.