Question

4. A cube of side 24 cm contains the same quantity of sugar as a cuboidal box with base 36 by 32 cm. What is the height of the box?
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Answer 1

Step-by-step explanation:

Volume of cube and cuboid should be same

24*24*24 = 36 * 32 * h

h = (24 * 24 * 24 ) / (36*32)

h = (2*24*3)/(3*4)

h = (2*6)

h = 12

Answer 2

$\bold\green{QueStion}$

⇝A cube of side 24 cm contains the same quantity of sugar as a cuboidal box with base 36 by 32 cm. What is the height of the box?

$\bold\blue{Answer}$

⇝12cm

$\bold\red{Explanation}$

According to the question,

Volume of cube = Volume of cuboid

${side}^{3} = l \times b \times h \\ h = \frac{ {side}^{3} }{l \times b}$

$h = \frac{24 \times 24 \times 24}{36 \times 32}$

$h = 6 \times 2 = 12cm$

$\bold\purple{Answer}$

Height of cuboid = 12cm