# Area + surface area - math problems

#### Number of problems found: 484

• Axial section
The axial section of the cone is an equilateral triangle with area 168 cm2. Calculate the volume of the cone.
• Cone A2V
The surface of the cone in the plane is a circular arc with central angle of 126° and area 415 cm2. Calculate the volume of a cone.
• Rotation
The right triangle with legs 11 cm and 18 cm rotate around the longer leg. Calculate the volume and surface area of the formed cone.
• Pyramid roof
2/4 of the area of ​​the roof-shaped regular tetrahedral pyramid with base edge 10 m and height of 4 m is already covered with roofing. How many square meters still need to be covered?
• Cubes
Surfaces of cubes, one of which has an edge of 48 cm shorter than the other, differ by 36288 dm2. Determine the length of the edges of this cubes.
• Pipe
How long is the pipe with an outside diameter of 0.87 m if his coloring consumed 10 kg of color. 1 kg of color coverage is 6 m2.
• Cube
Calculate the surface cube with edge 11 dm.
• Sphere
The surface of the sphere is 12100 cm2, and the weight is 136 kg. What is its density?
• Rectangular field
One dimension of the rectangular field is 56 m greater than second dimension. If each side of the rectangle increases by 10 m, increases the surface field is 1480 m2 . Determine dimencions of the field.
• Special cube
Calculate the edge of cube, if its surface and its volume is numerically equal number.
• Cube
The sum of lengths of cube edges is 57 cm. What is its surface and volume?
• Observatory
Observatory dome has the shape of a hemisphere with a diameter d = 20 m. Calculate the surface.
• Rotating cone II
Calculate area of surface of rotating cone with base radius r=19 cm and height h=9 cm.
• Kitchen
The kitchen roller has a diameter 70 mm and width of 359 mm. How many square millimeters roll on one turn?
• Sphere slices
Calculate the volume and surface of a sphere if the radii of parallel cut r1=31 cm, r2=92 cm, and its distance v=25 cm.
• Cap
Jesters hat is shaped by a rotating cone. Calculate how much paper is needed to the cap 54 cm high when the head circumference is 47 cm.
• Aquarium II
Calculate how much glass we need to build an aquarium with a rectangular shape with base 70 cm × 70 cm and a height of 70 cm, if the waste is 2%. Aquarium haven't top glass.
• Concrete pipe
Concrete pipe is cylindrical with an inner diameter 110 cm and outer 120 cm. Calculate the surface of the concrete pipe, if it is 9 m long.
• Roller
Cylinder shell has the same content as one of its bases. Cylinder height is 15 dm. What is the radius of the base of the cylinder?
• Cylinder - A&V
The cylinder has a volume 1287. The base has a radius 10. What is the area of the surface of the cylinder?

Do you have an exciting math question or word problem that you can't solve? Ask a question or post a math problem, and we can try to solve it.

We will send a solution to your e-mail address. Solved examples are also published here. Please enter the e-mail correctly and check whether you don't have a full mailbox.

Area - math word problems. Examples for the calculation of the surface area of ​​the solid object .