find the surface area of cube with sides measuring 11 meters
To find the surface area of a cube, you need to calculate the area of all six faces and then add them together.
Formula for the surface area of a cube: 6 x side^2
Given that the sides of the cube measure 11 meters, substitute this value into the formula:
Surface area = 6 x 11^2
Surface area = 6 x 121
Surface area = 726 square meters
Therefore, the surface area of a cube with sides measuring 11 meters is 726 square meters.
Cherese 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 be left over
To find out how much cardboard Cherese will have left over, we first need to calculate the surface area of the box using the given dimensions.
The surface area of a rectangular box can be found by calculating the area of each of the six faces and then adding them together.
Given dimensions:
Length = 10 inches
Width = 9 inches
Height = 7 inches
Formula for the surface area of a rectangular box:
2lw + 2lh + 2wh
Substitute the given dimensions into the formula:
Surface area = 2(10*9) + 2(10*7) + 2(9*7)
Surface area = 2(90) + 2(70) + 2(63)
Surface area = 180 + 140 + 126
Surface area = 446 square inches
Cherese has purchased 500 square inches of cardboard, so she will have 500 - 446 = 54 square inches of cardboard left over.
Therefore, Cherese will have 54 square inches of cardboard left over after building the box.
a wedge of cheeses shaped like triangular prism how much plastic wrap is needed to cover the wedge of cheese
To find the amount of plastic wrap needed to cover a wedge of cheese shaped like a triangular prism, we first need to determine the net surface area of the prism. The net surface area of a triangular prism can be calculated by finding the areas of all the individual faces and adding them together.
Given that a wedge of cheese is shaped like a triangular prism, it has 5 faces - 2 triangular faces on the ends and 3 rectangular faces around the sides.
Let's assume the base of the triangular prism is a right-angled triangle, with the base measuring b units, height measuring h units, and the slant height of the prism measuring l units.
The formula to calculate the net surface area of a triangular prism is:
Surface Area = Area of the two triangular ends + Area of the three rectangular sides
1. Area of two triangular ends:
Area = (1/2) * base * height
Area = (1/2) * b * h
Area = (1/2)bh
2. Area of three rectangular sides:
Area = Perimeter of base * l
There are three rectangular faces around the sides of the prism, so the total area of the 3 sides is:
Area = 3 * b * l
Adding the areas of the two triangular ends and the three rectangular sides gives us the net surface area of the prism:
Surface Area = (1/2)bh + 3bl
To find out how much plastic wrap is needed, you would calculate the surface area of the prism and then use that as the amount of plastic wrap needed to cover the wedge of cheese.
in cm
To calculate the amount of plastic wrap needed to cover a wedge of cheese shaped like a triangular prism, which has dimensions in centimeters, we first need to calculate the net surface area of the prism.
Given that the prism has dimensions in centimeters, let's assume the base of the triangular prism is a right-angled triangle, with the base measuring b cm, height measuring h cm, and the slant height of the prism measuring l cm.
The formula to calculate the net surface area of a triangular prism is:
Surface Area = Area of the two triangular ends + Area of the three rectangular sides
1. Area of two triangular ends:
Area = (1/2) * base * height
Area = (1/2) * b * h
Area = (1/2)bh square cm
2. Area of three rectangular sides:
Area = Perimeter of base * l
There are three rectangular faces around the sides of the prism, so the total area of the 3 sides is:
Area = 3 * b * l square cm
Adding the areas of the two triangular ends and the three rectangular sides gives us the net surface area of the prism:
Surface Area = (1/2)bh + 3bl square cm
Once you calculate the surface area using the given dimensions in centimeters, the result will give you the amount of plastic wrap needed to cover the wedge of cheese in square centimeters.
what is the answer in cm not “b”
I understand your question now. Let's rewrite the formula for the net surface area in terms of the given dimensions in centimeters:
Given:
Base = b cm
Height = h cm
Slant height = l cm
1. Area of two triangular ends:
Area = (1/2) * base * height
Area = (1/2) * b * h
Area = (1/2)bh square cm
2. Area of three rectangular sides:
The perimeter of the base of a right-angled triangle can be calculated using the Pythagorean theorem: Perimeter = b + h + l
Each side of the rectangular prism will have dimensions l (slant height) and h (height of the prism), so the total area of the 3 sides is:
Area = Perimeter of base * height
Area = (b + h + l) * h square cm
Adding the areas of the two triangular ends and the three rectangular sides gives us the net surface area of the prism:
Surface Area = (1/2)bh + (b + h + l)h
Once you calculate the surface area using the given dimensions in centimeters, the result will give you the amount of plastic wrap needed to cover the wedge of cheese in square centimeters.