Study for the HSC Mathematics Standard 2 Exam. Utilize flashcards and multiple choice questions, each with hints and explanations. Prepare confidently for your exam success!

Multiple Choice

Calculate the volume of a cube with a side length of 4 cm.

To find the volume of a cube, you use the formula: \[ \text{Volume} = \text{side length}^3 \] In this case, the side length of the cube is 4 cm. To calculate the volume, you will raise the side length to the power of 3: \[ \text{Volume} = 4^3 = 4 \times 4 \times 4 \] Calculating it step-by-step: 1. First, calculate \(4 \times 4 = 16\). 2. Then, take that result and multiply it by 4 again: \(16 \times 4 = 64\). So, the volume of the cube is \(64 \text{ cm}^3\). This is why the correct answer is selected, as it accurately reflects the application of the volume formula for a cube given the specified side length.

To find the volume of a cube, you use the formula:

[

\text{Volume} = \text{side length}^3

]

In this case, the side length of the cube is 4 cm. To calculate the volume, you will raise the side length to the power of 3:

[

\text{Volume} = 4^3 = 4 \times 4 \times 4

]

Calculating it step-by-step:

  1. First, calculate (4 \times 4 = 16).

  2. Then, take that result and multiply it by 4 again: (16 \times 4 = 64).

So, the volume of the cube is (64 \text{ cm}^3). This is why the correct answer is selected, as it accurately reflects the application of the volume formula for a cube given the specified side length.