Question - Cube Measurements and Calculations
Solution:
I see an image with text stating "cube edge = 5.4 cm," which suggests you're dealing with a cube whose edge length is 5.4 centimeters. However, the specific question or problem you need to solve concerning the cube is not visible in the image. Typically with cube-related problems, you might be asked to calculate the volume, surface area, or perhaps the diagonal of the cube. Here's how you would calculate each of these:1. Volume of a Cube:The volume $$ V $$ of a cube is calculated by cubing the length of one of its edges $$ e $$:\[ V = e^3 \]So for a cube with an edge of 5.4 cm,\[ V = 5.4 \text{ cm} \times 5.4 \text{ cm} \times 5.4 \text{ cm} = 157.464 \text{ cm}^3 \]2. Surface Area of a Cube:The surface area $$ A $$ is calculated by multiplying the square of the edge length by six (since there are six sides on a cube):\[ A = 6e^2 \]Using the edge length 5.4 cm,\[ A = 6 \times (5.4 \text{ cm})^2 = 6 \times 29.16 \text{ cm}^2 = 174.96 \text{ cm}^2 \]3. Diagonal of a Cube:The space diagonal $$ d $$ of a cube can be calculated using the formula, derived from the Pythagorean theorem in three dimensions:\[ d = e\sqrt{3} \]For an edge length of 5.4 cm,\[ d = 5.4 \text{ cm} \times \sqrt{3} \approx 5.4 \text{ cm} \times 1.732 \approx 9.353 \text{ cm} \]Without the specific question, I provided the formulas and calculations for typical cube measurements. If your question is about one of these measurements or something else related to the cube, please provide more details.
CamTutor
In regards to math, we are professionals.
Get In Touch
Email: camtutor.ai@gmail.com