Sorry I forgot about that
Given:
- The right rectangular prism is made up of 48 cubes.
- Each cube has an edge length of 1/4 inch.
![~](https://tex.z-dn.net/?f=~)
To Find:
- What is the volume of this prism?
![~](https://tex.z-dn.net/?f=~)
Solution:
![~](https://tex.z-dn.net/?f=~)
<u>Using formula: </u>
![~](https://tex.z-dn.net/?f=~)
![~](https://tex.z-dn.net/?f=~)
Substituting values in the formula:
![~](https://tex.z-dn.net/?f=~)
![\sf \longrightarrow \dfrac{1}{4} \times \dfrac{1}{4} \times \dfrac{1}{4}](https://tex.z-dn.net/?f=%5Csf%20%5Clongrightarrow%20%20%5Cdfrac%7B1%7D%7B4%7D%20%20%5Ctimes%20%20%5Cdfrac%7B1%7D%7B4%7D%20%20%5Ctimes%20%20%5Cdfrac%7B1%7D%7B4%7D%20%3C%2Fp%3E%3Cp%3E)
![\sf \longrightarrow \dfrac{1}{64} \: {inch}^{3}](https://tex.z-dn.net/?f=%5Csf%20%5Clongrightarrow%3C%2Fp%3E%3Cp%3E%20%5Cdfrac%7B1%7D%7B64%7D%20%20%5C%3A%20%20%7Binch%7D%5E%7B3%7D%20)
![~](https://tex.z-dn.net/?f=~)
Now,
Volume of 48 such cubes = Volume of 1 cube × 48 cubes
![~](https://tex.z-dn.net/?f=~)
![\sf \longrightarrow \dfrac{1}{64} \times 48](https://tex.z-dn.net/?f=%5Csf%20%5Clongrightarrow%3C%2Fp%3E%3Cp%3E%20%5Cdfrac%7B1%7D%7B64%7D%20%20%5Ctimes%2048)
![\sf \longrightarrow \dfrac{48}{64}](https://tex.z-dn.net/?f=%5Csf%20%5Clongrightarrow%3C%2Fp%3E%3Cp%3E%20%5Cdfrac%7B48%7D%7B64%7D%20)
![\sf \longrightarrow \dfrac{3}{4} \: {inch}^{3}](https://tex.z-dn.net/?f=%5Csf%20%5Clongrightarrow%3C%2Fp%3E%3Cp%3E%20%5Cdfrac%7B3%7D%7B4%7D%20%20%5C%3A%20%20%7Binch%7D%5E%7B3%7D%20)
![~](https://tex.z-dn.net/?f=~)
Hence,
- Volume of prism is <u>3/4 inch^3</u>
It's 7x - 5, multiplication goes before subtraction
![\begin{array}{ccc}48&-&100\%\\54&-&p\%\end{array}\ \ \ |cross\ multiply\\\\48p=54\cdot100\\48p=5400\ \ \ \ |divide\ both\ sides\ by\ 48\\\boxed{p=112.5}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Bccc%7D48%26-%26100%5C%25%5C%5C54%26-%26p%5C%25%5Cend%7Barray%7D%5C%20%5C%20%5C%20%7Ccross%5C%20multiply%5C%5C%5C%5C48p%3D54%5Ccdot100%5C%5C48p%3D5400%5C%20%5C%20%5C%20%5C%20%7Cdivide%5C%20both%5C%20sides%5C%20by%5C%2048%5C%5C%5Cboxed%7Bp%3D112.5%7D)
Answer: 54 is 112.5% of 48.