duckydo

13.09.2021 •

Mathematics

a rectangular metallic block is 50cm×20cm×8cm. If it is melted and re formed into a cubical block, find the length of edge of cube.

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Ответ:

ryleeyeagley03

02.02.2021

Mathematics

x = 6.99in

Step-by-step explanation:

Given

l =2in

Volume = 72.66in^3

See attachment for prism

Required

Find x

The prism has a regular hexagon base

The base area is calculated as:

$Base\ Area= \frac{3\sqrt 3}{2}l^2$

This gives:

$Base\ Area= \frac{3\sqrt 3}{2} * 2^2$

$Base\ Area= \frac{3\sqrt 3}{2} * 4$

$Base\ Area= 3\sqrt 3 * 2$

$Base\ Area= 6\sqrt 3$

Side x represents the height.

So, we have:

$Volume = Base\ Area*x$

Make x the subject

$x = \frac{Volume }{ Base\ Area}$

$x = \frac{72.66in^3}{6\sqrt 3 in^2}$

$x = \frac{72.66}{6\sqrt 3}in$

$x = \frac{12.11}{\sqrt 3}in$

x = 6.99in --- approximated

Find the missing dimension of the prism. Round your answer to the nearest hundredth.

Volume = 72.66

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a rectangular metallic block is 50cm×20cm×8cm. If it is melted and re formed into a cubical block, find the length of edge of cube. ​