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3 years ago

15

What is the maximum number of cubes with side lengths of 1/2 cm that can fit into a right rectangular prism with base dimensions

of 12 1/2 cm by 8 1/2 cm and height of 9 1/2 cm?

1 answer:

tamaranim1 [39]3 years ago

8 0

Answer:

2,018

Step-by-step explanation:

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$\boxed{The\:value\:of\:x\:is\:7.375.}$

$\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}$

$(4x - 5)2 = 49 \\ ⇢8x - 10 = 49 \\⇢8x = 49 + 10 \\ ⇢8x = 59 \\ ⇢x = \frac{59}{8} \\ ⇢x = 7.375$

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${ \bf{ \underbrace{To\:verify :}}}$

$(4x - 5)2 = 49 \\ ⇢(4 \times 7.375 - 5)2 = 49 \\ ⇢(29 .5 - 5)2 = 49 \\ ⇢24.5 \times 2 = 49 \\ ⇢49 = 49 \\ ⇢ L.H.S.=R. H. S$

Hence verifed.

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