Volume
Calculate volume of prisms, cylinders, and other 3D shapes.
Learn
Volume Formulas
- Rectangular prism: V = length x width x height
- Cube: V = s^3
- Cylinder: V = pi x r^2 x h
- Triangular prism: V = (1/2)bh x length
Practice
Question 1: Find volume of a box 5 x 4 x 3 cm.
Answer
V = 5 x 4 x 3 = 60 cm^3
Question 2: A cube has edges of 6 m. Find volume.
Answer
V = 6^3 = 216 m^3
Question 3: Find volume of a cylinder with r = 3 and h = 10. (pi = 3.14)
Answer
V = 3.14 x 9 x 10 = 282.6 cubic units
Question 4: A pool is 10 m long, 5 m wide, 2 m deep. Find volume.
Answer
V = 10 x 5 x 2 = 100 m^3
Question 5: How many 1 cm cubes fit in a 4 x 3 x 2 cm box?
Answer
4 x 3 x 2 = 24 cubes
Question 6: A cylinder has diameter 8 and height 5. Find volume. (pi = 3.14)
Answer
r = 4, V = 3.14 x 16 x 5 = 251.2 cubic units
Question 7: Volume is 120 m^3, length 6 m, width 4 m. Find height.
Answer
120 = 6 x 4 x h, 120 = 24h, h = 5 m
Question 8: A triangular prism has triangle base 6, height 4, and length 10. Find volume.
Answer
V = (1/2)(6)(4) x 10 = 12 x 10 = 120 cubic units
Question 9: Compare: Which is larger, cube side 5 or box 6x4x5?
Answer
Cube: 125, Box: 120. Cube is larger.
Question 10: A can has r = 4 cm, h = 12 cm. Find volume. (pi = 3.14)
Answer
V = 3.14 x 16 x 12 = 602.88 cm^3