A cubic storage container problem
Solution:
Let's break down the problem step by step to determine the correct answer.
Step 1: Understand the Problem
The given shape is a cube. A cube is a three-dimensional object where all sides have equal length. Here, each side length is given as \(3x\) metres.
Step 2: Recall the Formula for the Volume of a Cube
The volume of a cube is found using the formula:
\[ \text{Volume} = \text{side length}^3 \]
Step 3: Apply the Formula
Since each side of the cube is \(3x\), we calculate:
\[ (3x)^3 = 3^3 \times x^3 \]
This simplifies to:
\[ 27x^3 \]
Step 4: Identify the Correct Answer Choice
From the given answer choices:
\[ \text{Correct Answer: } 27x^3 \]
Since our computed volume is \(27x^3\), the correct answer is:
Option A, \(27x^3\)
Also check out Grade 12 Examination Question Logarithm