Question

A shoe box has length 25 cm and its width is 18 cm.Its volume is 6300 cu cm.Find its length

Answer 1

$<i>Let the unknown length be x </i>$

Then,

$volume \: \: of \: \: box = (l \times b \times h) = 6300 {cm}^{3} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: x(25 \times 18) = 6300\\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: x = \frac{6300}{25 \times 18} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: x = \frac{252}{18} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:x = 14$

$<b>Hence, The unknown length of shoe box was 14 cm. </b>$

Answer 2

Complete Question:

A shoe box has length 25 cm and its width is 18 cm.Its volume is 6300 cu cm.Find its height

Answer:

The height of box is 14 cm

Solution:

Given that,

Dimensions of shoe box are:

Length = 25 cm

width = 18 cm

height = ?

volume = 6300 cubic cm

The volume of box is given as:

$Volume = length \times width \times height$

Substituting the values we get,

$6300 = 25 \times 18 \times height\\\\6300 = 450 \times height\\\\height = \frac{6300}{450}\\\\height = 14$

Thus, height of box is 14 cm

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