# Area Questions and Answers

Math

AreaThe 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

AreaFour 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

AreaThe 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

AreaFind 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

AreaIf 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

AreaThe 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

AreaLet 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

AreaApproximate 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

AreaWhich 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

AreaFor 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

AreaYou 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

AreaDetermine 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

AreaA 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

AreaFind 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

AreaFind 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