Body volume - 7th grade (12y) - math problems

Number of problems found: 252

  • Special body
    cube_6pyramids Above each wall of a cube with an edge a = 30 cm, a regular quadrilateral pyramid with a height of 15 cm is constructed. Find the volume of the resulting body.
  • Volume of cube
    cubes2_1 Solve the volume of a cube with width 26cm .
  • Volume of sphere
    sphere_in_cube How many times does the volume of a sphere increase if its radius increases 2 ×?
  • Three cubes
    cubes3 The body was created by gluing three identical cubes. Its volume is 192 cm3. What is its surface in dm2?
  • Cuboid - volume, diagonals
    prism_diagonals The length of the one base edge of cuboid a is 3 cm. Body diagonal is ut=13 cm and diagonal of cuboid's baseis u1=5 cm. What is the volume of the cuboid?
  • Area to volume
    two_cubes_2 If the surface area of a cube is 486, find its volume.
  • Cube surfce2volume
    cube_shield Calculate the volume of the cube if its surface is 150 cm2.
  • Cube surface and volume
    cube_shield_6 Find the surface of the cube with a volume of 27 dm3.
  • Prism - eq triangle
    prism-3sides_1 Calculate the volume and surface of the prism with the base of an equilateral triangle with side a = 4cm and the body height is 6cm.
  • Surface and volume
    cuboid_2 Find the surface and volume of a cuboid whose dimensions are 1 m, 50 cm, and 6 dm.
  • Cylinder
    valec Calculate the dimensions of rotating cylindrical containers with volume 2 l if the container's height is equal to the base's diameter.
  • Surface and volume
    cylinder_1 Calculate the surface and volume of a cylinder whose height is 8 dm and the radius of the base circle is 2 dm  
  • Sphere VS
    gule Find the surface and volume of a sphere that has a radius of 2 dm.
  • Volume and area
    cubes_8 What is the volume of a cube which has area of 361 cm2?
  • Cube 3
    krychle_2 How many times will increase the volume of a cube if we double the length of its edge?
  • Excavation
    vykop_1 Excavation for the base of the cottage 4.5 m x 3.24 m x 60 cm. The excavated soil will increase its volume by one-quarter. Calculate the volume of excavated soil.
  • Volume and surface area
    cuboid_2 Find the volume and surface of a wooden block with dimensions: a = 8 cm, b = 10 cm, c = 16 cm.
  • Volume of cone
    cone_church_1 Find the volume of a right circular cone-shaped building with a height of 9 cm and a radius base of 7 cm.
  • The body
    cuboid_3colors The body has dimensions of 2m 2dm and 10 cm. It weighs 28 kg. What is its density?
  • The largest
    cylinder_in_cube The largest possible cylinder was cut from a 20 cm cube. What is the volume of this cylinder?

Do you have an interesting mathematical word problem that you can't solve it? Submit 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.

Please do not submit problems from current active competitions such as Mathematical Olympiad, correspondence seminars etc...



Body volume - math word problems. Examples for 7th grade (seventh).