Volume of a Cube
Volume of a Cube is a Grade 7 math skill in Big Ideas Math Advanced 2, Chapter 14: Surface Area and Volume, where students apply the formula V = s^3 to calculate the volume of a cube given its side length, and work backwards using cube roots to find the side length from a known volume. This connects the cubic exponent to the three-dimensional nature of volume.
Key Concepts
A cube is a rectangular prism whose length, width, and height are all equal. For any cube with sides of length $s$:.
Volume: $V = s^3$.
Common Questions
What is the formula for the volume of a cube?
V = s^3, where s is the side length. Since all sides of a cube are equal, the volume is found by multiplying the side length by itself three times.
How do you find the side length of a cube from its volume?
Take the cube root of the volume. For example, if V = 64 cubic cm, then s = cube root of 64 = 4 cm.
How is V = s^3 related to the general volume formula V = Bh?
For a cube, the base is a square with area s^2, and the height equals the side length s. So V = B x h = s^2 x s = s^3.
What is Big Ideas Math Advanced 2 Chapter 14 about?
Chapter 14 covers Surface Area and Volume, including surface areas of prisms and pyramids, the volume formula V = Bh, and volumes of cubes, prisms, and cylinders.