Question

Emily convinced her mom to buy a giant box of her favorite cereal. Her mom doesn't think the box will fit on their shelf. The volume of the box is $10,000c{m}^3$ The base of the box is $25cm$ by $10cm$ . How tall is the box of cereal?

Answer 1

Finding the height of the given box:

Given,

Volume of the box is $10,000c{m}^3$ and the base of the box is $25cm$ by $10cm$

The box is in the shape of a rectangular prism since it has length, width and height.

Volume of the box is,

$=length\times width\times height$
$\begin{array}{rcl}10,000{\mathrm{cm}}^3& =& (25\mathrm{cm}\times 10\mathrm{cm})\mathrm{h}\\ 10,000{\mathrm{cm}}^3& =& 250{\mathrm{cm}}^2\times \mathrm{h}\\ \frac{10,000{\mathrm{cm}}^3}{250{\mathrm{cm}}^2}& =& h\\ \therefore \mathrm{h}& =& 40cm\end{array}$
Hence, the cereal box is $40\mathrm{cm}$ tall.