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Rupert has a collection of Blu-ray discs he wants to store in a cubical box with edges of length 10 inches. If each Blu-ray has dimensions of 5 inches by 5 inches by 0.25inch, what is the maximum number of discs that can be fit into the box?
A) 60
B) 80
C) 160
D) 200

Rupert has a collection of Blu-ray discs he wants to store in a cubical box with edges of length $10$ inches. If each Blu-ray has dimensions of $5$ inches by $5$ inches by $0.25 \mathrm{inch}$ , what is the maximum number of discs that can be fit into the box? $\newline$ A) $60$ $\newline$ B) $80$ $\newline$ C) $160$ $\newline$ D) $200$

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Rate of travel: word problems

Full solution

Q. Rupert has a collection of Blu-ray discs he wants to store in a cubical box with edges of length

10

inches. If each Blu-ray has dimensions of

5

inches by

5

inches by

0.25 \mathrm{inch}

, what is the maximum number of discs that can be fit into the box?

\newline

A)

60

\newline

B)

80

\newline

C)

160

\newline

D)

200

Calculate Volume of Box: Calculate the volume of the cubical box. $\newline$ Volume of cube = edge length $^3$ $\newline$ = $10$ inches $\times 10$ inches $\times 10$ inches $\newline$ = $1000$ cubic inches
Calculate Volume of Blu-ray Disc: Calculate the volume of one Blu-ray disc. $\newline$ Volume of Blu-ray disc $= length \times width \times height$ $\newline$ $= 5 \text{ inches} \times 5 \text{ inches} \times 0.25 \text{ inches}$ $\newline$ $= 6.25 \text{ cubic inches}$
Determine Maximum Number: Determine the maximum number of Blu-ray discs that can fit into the box by dividing the volume of the box by the volume of one Blu-ray disc. $\newline$ Number of Blu-ray discs $= \frac{\text{Volume of box}}{\text{Volume of Blu-ray disc}}$ $\newline$ $= \frac{1000 \text{ cubic inches}}{6.25 \text{ cubic inches}}$ $\newline$ $= 160$

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