Question

A package of gift cards has a length of 8 inches, a width of 4 inches and a volume of 64 inches cubed. What is the height of the box?

Answer 1

length is 8 inches

breadth is 4 inches

volume is 64 inches

we know, volume=l*b*h

l*b*h=64 inches

now substitute the values

8*4*h=64

32*h=64

h=64/32

h=2

hence the height of the box is 2 inches.

Answer 2

$\star\small\sf\underline\blue{Given:-}$

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• A package of gift cards has a length of 8 inches, a width of 4 inches and a volume of 64 inches cubed.

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$\star\small\sf\underline\blue{Find \: Out:-}$

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• The required height of the box = ?

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$\star\small\sf\underline\blue{Solution:-}$

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$\footnotesize\bold{\underline{\underline{\sf{\red{Formula\: Used:-}}}}}$

${\underline{\boxed{\sf{Volume = Length \times Breadth \times Height}}}}$

$\footnotesize\bold{\underline{\underline{\sf{\red{Putting\: the\: values:-}}}}}$

$\leadsto \sf \: 64 = 8 \times 4 \times Height \\ \\ \leadsto \sf \: 64 = 32 \times \:Height\\ \\ \leadsto \sf \: Height = \cancel\dfrac{64}{32} \\ \\ \leadsto \sf\red{Height} = \large{\boxed{\bf\blue{2 \: Inches}}}$

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$\star\small\sf\underline\blue{AnswEr:-}$

• The required height of the box is 2 Inches.