Exercise

A shipment service provider uses three types of containers for shipping materials. The height and width of the three containers are the same. The containers’ height is $0.15 \mathrm{m}$ more than their width, and the volume of the smallest container is $625 {\mathrm{m}}^3$.

Write a polynomial relating Container $1$’s length, breadth and height with its volume.

A shipment service provider uses three types of containers for shipping materials. The height and width of the three containers are the same. The containers’ height is $0.15 \mathrm{m}$ more than their width, and the volume of the smallest container is $652 {\mathrm{m}}^3$

Which of the following statement is true?

A shipment service provider uses three types of containers for shipping materials. The height and width of the three containers are the same. The containers’ height is $0.15 \mathrm{m}$ more than their width, and the volume of the smallest container is $652 {\mathrm{m}}^3$

What is the height of each container.

Hard plastic square shaped sheets are available.The side length of sheets is as per the requirement. The price of a sheet is $z$ per square meter. Anuj requires two sheets- a smaller sheet with the side length $x \mathrm{m}$ and a larger sheet with side length $\mathrm{y} \mathrm{m}$. He has two choices:

Choice $1$: buy two separate sheets of side lengths $x \mathrm{m}$ and $y \mathrm{m}$

Choice $2:$ buy a single sheet with side length $\left(x+y\right) \mathrm{m}$

What is the difference in price between the two choices?

A polynomial is expressed as: $p\left(x\right)=x^3+x^2-x-1$. At what values of $x$ is the polynomial $p\left(x\right)=0$

If $3x-\frac{y}{5}=10$ and $xy=5$, then $27x^3-\frac{y^3}{125}=$

If $x=\sqrt{9+\sqrt{77}}$, then the value of $\frac{1}{11}{\left(x+\frac{2}{x}\right)}^2$ is equal to 

Solve for real numbers the equation:

$\sqrt{x_1-1}+2\sqrt{x_2-4}+3\sqrt{x_3-9}+......+n\sqrt{x_n-n^2}=\frac{1}{2}\left(x_1+x_2+......+x_n\right)$