The formula for finding the surface area of a cube is 6s2, where 8 is the length of each side of the square. Evaluate for 8=10 to find the number of square centimeters (cm2) for the surface area of a cube with a side length of 10 cm
To find the surface area of a cube with a side length of 10 cm, we will substitute 8 with 10 in the formula.
Surface area = 6 * s^2
Where s is the length of each side of the square.
Substituting s = 10:
Surface area = 6 * (10)^2
Surface area = 6 * 100
Surface area = 600 cm^2
Therefore, the surface area of a cube with a side length of 10 cm is 600 square centimeters (cm^2).
step by step please
Certainly!
1. Given that the side length of the cube is 10 cm, we need to find the surface area.
2. The formula for finding the surface area of a cube is 6s^2, where s is the length of each side of the square.
3. Substitute s with 10 in the formula.
Surface area = 6 * (10)^2
Surface area = 6 * 100
Surface area = 600 cm^2
Therefore, the surface area of a cube with a side length of 10 cm is 600 square centimeters (cm^2).
thank you
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Alicia works for Thomas Edison Electrical Company. She earns $100 for going to a customers house and $65 per hour, h for the job. This is modeled by 65h + 100. Evaluate for h = 3 to find how much Alicia will earn will a job that takes 3 hours.
To find how much Alicia will earn for a job that takes 3 hours, we will substitute h = 3 into the given equation.
Earnings = 65h + 100
Substituting h = 3:
Earnings = 65 * 3 + 100
Earnings = 195 + 100
Earnings = 295
Therefore, Alicia will earn $295 for a job that takes 3 hours.
A competitive cliff-diver jumps from a height of 75 feet. Find the number of feet the diver is above the ocean in 2 seconds Evaluate for t = 2 by the formula 75 - 16t 2, where t is time in seconds
To find the number of feet the diver is above the ocean in 2 seconds, we will substitute t = 2 into the given formula.
Height above ocean = 75 - 16t^2
Substituting t = 2:
Height above ocean = 75 - 16(2)^2
Height above ocean = 75 - 16(4)
Height above ocean = 75 - 64
Height above ocean = 11
Therefore, the diver is 11 feet above the ocean after 2 seconds.
Gabrielle wants to put a border around her garden. It costs $1.50 per yard for the materials. Use 1.50 (21 + 2w) , where l is the length and w is the width of her garden, to find the cost for the garden that has a length of 4 yards of a width of 3 yards
To find the cost for the border around Gabrielle's garden, we will substitute l = 4 yards and w = 3 yards into the given equation.
Cost = 1.50(21 + 2w)
Substituting l = 4 and w = 3:
Cost = 1.50(21 + 2(3))
Cost = 1.50(21 + 6)
Cost = 1.50(27)
Cost = 40.5
Therefore, the cost for the border around Gabrielle's garden, with a length of 4 yards and a width of 3 yards, is $40.50.
Gabrielle wants to put a border around her garden. It costs $1.50 per yard for the materials. Use 1.50 (2l + 2w) , where l is the length and w is the width of her garden, to find the cost for the garden that has a length of 4 yards of a width of 3 yards
To find the cost for the border around Gabrielle's garden, we will substitute l = 4 yards and w = 3 yards into the given equation.
Cost = 1.50(2l + 2w)
Substituting l = 4 and w = 3:
Cost = 1.50(2(4) + 2(3))
Cost = 1.50(8 + 6)
Cost = 1.50(14)
Cost = 21
Therefore, the cost for the border around Gabrielle's garden, with a length of 4 yards and a width of 3 yards, is $21.
Mr Imani wants wants to purchase paper and notebooks for his classroom. At Dollar Discount he can can buy packs of paper, p for $1.25 each and notebooks, n, for $2.50 each. This is modeled by 1.25p + 2.50n Evaluate for p = 10 and n = 30 to find how much it will cost Mr. Imani to purchase 10 packs of paper and 30 notebooks
To find the cost for Mr. Imani to purchase 10 packs of paper and 30 notebooks, we will substitute p = 10 and n = 30 into the given equation.
Cost = 1.25p + 2.50n
Substituting p = 10 and n = 30:
Cost = 1.25(10) + 2.50(30)
Cost = 12.50 + 75
Cost = 87.50
Therefore, it will cost Mr. Imani $87.50 to purchase 10 packs of paper and 30 notebooks.
The formula for finding the volume of a square prism. is s^2h, where s is the length of each side of the square base and h is the height of the prism. Evaluate to find volume given values of s = 4 and h = 6
To find the volume of a square prism with s = 4 and h = 6, we will substitute these values into the given formula.
Volume = s^2h
Substituting s = 4 and h = 6:
Volume = (4)^2 * 6
Volume = 16 * 6
Volume = 96
Therefore, the volume of the square prism with s = 4 and h = 6 is 96 cubic units.
Each month Ms. Tanaka is paid a base salary of 2,500 in addition to $100 for each television that she sells. This modeled by 2,500 + 100t, where t represents the number of televisions. Evaluate for t = 12 to find how much Ms. Tanaka will earn for selling 12 televisions this month
To find how much Ms. Tanaka will earn for selling 12 televisions this month, we will substitute t = 12 into the given equation.
Earnings = 2,500 + 100t
Substituting t = 12:
Earnings = 2,500 + 100(12)
Earnings = 2,500 + 1,200
Earnings = 3,700
Therefore, Ms. Tanaka will earn $3,700 for selling 12 televisions this month.
Robert is preparing a poster-board presentation. He wants to make a decorative pattern with 10 squares to fill part of the poster. The area of the poster board is 720 square inches. To find how much space Robert will have left for his presentation if he uses squares with 7-inch sides, evaluate 720 - 10s^2 when s = 7
To find out how much space Robert will have left for his presentation, we need to substitute s = 7 into the given equation, where s represents the length of the sides of the squares.
Area left = 720 - 10s^2
Substituting s = 7:
Area left = 720 - 10(7^2)
Area left = 720 - 10(49)
Area left = 720 - 490
Area left = 230
Therefore, Robert will have 230 square inches of space left for his presentation if he uses squares with 7-inch sides.
Mr Rodrigez has a vegetable garden that borders his house. He wants to put a fence around it. It costs $7 per yard for the materials. Evaluate 7 (l =2w), where l is the length and w is width of his garden, to find the cost for a garden that has a length of of 5 yards with a width of 2 yards
To find the cost for Mr. Rodriguez to put a fence around his garden, we will substitute l = 5 yards and w = 2 yards into the given equation.
Cost = 7(l + 2w)
Substituting l = 5 and w = 2:
Cost = 7(5 + 2(2))
Cost = 7(5 + 4)
Cost = 7(9)
Cost = 63
Therefore, the cost for Mr. Rodriguez to put a fence around a garden with a length of 5 yards and a width of 2 yards is $63.