The turtle shaped sandbox holds 6 cubic feet of sand. The dimensions of the next size turtle sandbox are double the size of the smaller one. How much sand will the larger sandbox hold?
1 Answer
Explanation:
When you double the dimensions of the sandbox, you must double all the dimensions. That means that every side is going to have to be multiplied by two in order to find the answer. For example, if you have a rectangle that's
So,
Thus, the area of the rectangle is
However, there's a simpler way to solve this question. If we know how many sides the rectangle has, we thus know how many sides we need to double: 2 sides. Knowing this, we can simplify the above equation to
Now take the turtle-shaped sandbox. The sandbox has an unknown amount of sides so we don't know how many lengths we need to double and therefore we can't answer the question. We can, however, use
By multiplying the number of sides the shape has by