3D Shapes Volume Problems

Problems on 3D shapes, such as prisms, cube, cylinder, volume are presented along with detailed solutions

Problem 1

A rectangular prism of volume 3200 mm3 has a rectangular base of length 10 mm and width 8 mm. Find the height h of the prism.
rectangular prism problem 1

Solution to Problem 1:

Problem 2

The area of one square face of a cube is equal to 64 cm2. Find the volume of the cube.
cube problem 2

Solution to Problem 2:

Problem 3

The triangular base of a prism is a right triangle of sides a and b = 2a. The height h of the prism is equal to 10 mm and its volume is equal to 40 mm3, find the lengths of the sides a and b of the triangle.
 triangular prism problem 3

Solution to Problem 3:

Problem 4

Find the volume of the given L-shaped rectangular structure.
 L-shaped structure problem 4

Solution to Problem 4:

Problem 5

Find the thickness x of the hollow cylinder of height 100 cm if the volume between the inner and outer cylinders is equal to 11000 Pi mm3 and the outer diameter is 12 mm.
 Hollow cylinder 5

Solution to Problem 5:

Problem 6

Find x so that the volume of the U-shaped rectangular structure is equal to 165 cm3.
 U-shaped structure problem 6

Solution to Problem 6:

Problem 7

Find the volume of the hexagonal prism whose base is a regular hexagon of side x = 10 cm.
 hexagonal prism 7

Solution to Problem 7:

More References and Links to Triangles and Geometry

Geometry Tutorials, Problems and Interactive Applets.