Question
\( \frac{9}{10} \ell \) of paint is needed to paint 4 identical cubes. How much paint is needed to paint 1 cube?
Ask by Barker Tyler. in Singapore
Jan 23,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
Each cube needs \(\frac{9}{40}\,\ell\) of paint.
Solution
To determine how much paint is needed to paint one cube, let's break down the information provided:
- **Total paint for 4 cubes:** \( \frac{9}{10} \ell \)
Since the cubes are identical, the paint required for one cube is simply one-fourth of the total paint needed for four cubes.
\[
\text{Paint for 1 cube} = \frac{\frac{9}{10} \ell}{4} = \frac{9}{40} \ell
\]
**Answer:**
One cube requires \(\dfrac{9}{40}\,\ell\) of paint.
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Simplify this solution The Deep Dive
To find out how much paint is needed to paint one cube, we can take the total amount of paint required for the 4 cubes, which is \( \frac{9}{10} \ell \), and divide it by 4. The calculation is as follows: \[ \text{Paint per cube} = \frac{\frac{9}{10}}{4} = \frac{9}{10} \times \frac{1}{4} = \frac{9}{40} \ell \] So, \( \frac{9}{40} \ell \) of paint is needed to paint 1 cube.
