Area Questions and Answers

The diameter of a standard basketball is 9.5 inches. If the basketballs are covered in rubber, what is the minimum amount of rubber needed to manufacture a set of four basketballs?
Math
Area
The diameter of a standard basketball is 9.5 inches. If the basketballs are covered in rubber, what is the minimum amount of rubber needed to manufacture a set of four basketballs?
Four congruent isosceles right triangles are added to the edges of a regular octagon to form a square, as shown. If the legs of each of the four triangles are 3 centimeters long, which measure is closest to the perimeter of the octagon?
OA. 24.0 cm
OB. 25.5 cm
OC. 33.9 cm
OD. 72.0 cm
Math
Area
Four congruent isosceles right triangles are added to the edges of a regular octagon to form a square, as shown. If the legs of each of the four triangles are 3 centimeters long, which measure is closest to the perimeter of the octagon? OA. 24.0 cm OB. 25.5 cm OC. 33.9 cm OD. 72.0 cm
The Walmart parking lot is a rectangle that measures 420 feet long and 218 feet wide. Each parking space is a rectangle that measures 18 feet long and 9 feet wide. The Saturday before school starts, the parking lot is full. How many cars are parked in the parking lot at Walmart on the Saturday before school starts?
Hint: Calculate the area of the parking lot and the area of a parking space to help find the answer.
430 cars
565 cars
670 cars
775 cars
Math
Area
The Walmart parking lot is a rectangle that measures 420 feet long and 218 feet wide. Each parking space is a rectangle that measures 18 feet long and 9 feet wide. The Saturday before school starts, the parking lot is full. How many cars are parked in the parking lot at Walmart on the Saturday before school starts? Hint: Calculate the area of the parking lot and the area of a parking space to help find the answer. 430 cars 565 cars 670 cars 775 cars
Find the volume generated by rotating the area bounded by the graph of the following set of equations around the y-axis.
y=x² +3₁ x = 1, x=3
Math
Area
Find the volume generated by rotating the area bounded by the graph of the following set of equations around the y-axis. y=x² +3₁ x = 1, x=3
If two opposite sides of a square are increased by 7 meters and the other sides are decreased by 2 meters, the area of the rectangle that is formed is 36 square meters. Find the area of the original square. Must use a quadratic equation to solve the problem for any credit.
Math
Area
If two opposite sides of a square are increased by 7 meters and the other sides are decreased by 2 meters, the area of the rectangle that is formed is 36 square meters. Find the area of the original square. Must use a quadratic equation to solve the problem for any credit.
The diagram below shows two spheres, one with diameter 12 cm and one with diameter 9 cm.
What is the difference in their surface areas?
Math
Area
The diagram below shows two spheres, one with diameter 12 cm and one with diameter 9 cm. What is the difference in their surface areas?
Let R be the area bounded by the graph of y = 16-x² and the x-axis over [0,2]. a) Find the volume of the solid of revolution generated by rotating R around the x-axis. b) Find the volume of the solid of revolution generated by rotating R around the y-axis. c) Explain why the solids in parts (a) and (b) do not have the same volume.
Math
Area
Let R be the area bounded by the graph of y = 16-x² and the x-axis over [0,2]. a) Find the volume of the solid of revolution generated by rotating R around the x-axis. b) Find the volume of the solid of revolution generated by rotating R around the y-axis. c) Explain why the solids in parts (a) and (b) do not have the same volume.
Approximate the area under the graph of f(x) = 0.05x - 1.44x² +56 over the interval [2,6] by dividing the interval into 4 subintervals. Use the left endpoint of each
subinterval.
The area under the graph of f(x) = 0.05x - 1.44x² +56 over the interval [2,6] is approximately.
Math
Area
Approximate the area under the graph of f(x) = 0.05x - 1.44x² +56 over the interval [2,6] by dividing the interval into 4 subintervals. Use the left endpoint of each subinterval. The area under the graph of f(x) = 0.05x - 1.44x² +56 over the interval [2,6] is approximately.
Which of the following describes the area of the region in quadrant II bounded by f(x), g(x), and the y-axis, if f(x) = x2 - 2x and g(x) = -3x - x² + 3?
Math
Area
Which of the following describes the area of the region in quadrant II bounded by f(x), g(x), and the y-axis, if f(x) = x2 - 2x and g(x) = -3x - x² + 3?
For the regions A and B shown in the graph:
Part A: Discuss the limits of integration. (3 points)
Part B: Set up an integral expression that represents the total area. (4 points)
Part C: Calculate the total area. (3 points)
Math
Area
For the regions A and B shown in the graph: Part A: Discuss the limits of integration. (3 points) Part B: Set up an integral expression that represents the total area. (4 points) Part C: Calculate the total area. (3 points)
You have 1260 feet of fencing to enclose a
rectangular garden. What are the length
and width of the garden which will
maximize the area? Write your two
dimensions separated by a comma. For
example, if the garden should be 20 feet
long by 10 feet wide, write 20,10.
Math
Area
You have 1260 feet of fencing to enclose a rectangular garden. What are the length and width of the garden which will maximize the area? Write your two dimensions separated by a comma. For example, if the garden should be 20 feet long by 10 feet wide, write 20,10.
A circle has a diameter of 20 units. Find the area

100π
10π
20π
400π
Math
Area
A circle has a diameter of 20 units. Find the area 100π 10π 20π 400π
Determine the volume of the solid generated by
rotating about the y-axis the region enclosed by
y=sin(x) and the x-axis, from X=0 to X = π
A 2π² cu units
B π²cu units
C 4π² cu units
D 4π² cu units
Math
Area
Determine the volume of the solid generated by rotating about the y-axis the region enclosed by y=sin(x) and the x-axis, from X=0 to X = π A 2π² cu units B π²cu units C 4π² cu units D 4π² cu units
A pen stand made of wood is in the shape of a cubold with four conical depressions to hold pens. The dimensions of
the cubold are 15 cm by 10 cm by 3.5 cm. The radius of each of the depressions is 0.5 cm and the depth is 1.4 cm.
Find the volume of wood in the entire stand. Use it = 22/7.

529.68 cm³
520.48 cm³
523.53 cm³
Math
Area
A pen stand made of wood is in the shape of a cubold with four conical depressions to hold pens. The dimensions of the cubold are 15 cm by 10 cm by 3.5 cm. The radius of each of the depressions is 0.5 cm and the depth is 1.4 cm. Find the volume of wood in the entire stand. Use it = 22/7. 529.68 cm³ 520.48 cm³ 523.53 cm³
Find the volume of the rectangular pyramid whose base is 3 m x 6 m and whose height is 5 m.

60 m³
90 m³
30 m³
Math
Area
Find the volume of the rectangular pyramid whose base is 3 m x 6 m and whose height is 5 m. 60 m³ 90 m³ 30 m³
Find the area of an obtuse triangle with a base of 8 inches and a height of 5 inches.
A. 40 square inches
B. 20 square inches
C. 45 square inches
Math
Area
Find the area of an obtuse triangle with a base of 8 inches and a height of 5 inches. A. 40 square inches B. 20 square inches C. 45 square inches