A plate has its dimensions $4.234 m$ $4.234m$ , $1.005 m$ $1.005m$ and thickness is $2.01$ $2.01$ $c m .$ $cm.$ What is its surface area and volume?

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A plate has its dimensions $4.234 m$ $4.234m$ , $1.005 m$ $1.005m$ and thickness is $2.01$ $2.01$ $c m .$ $cm.$ What is its surface area and volume?

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Answer 1 · 2017-06-20T07:17:06

Total area is $8.721$ $8.721$ $m^{2}$ $m^2$ and volume is $0.08553$ $0.08553$ $m^{3}$ $m^3$

Explanation:

Although it is considered a plate as its two dimensions (as length $l$ $l$ is $4.234$ $4.234$ $m$ $m$ and breadth $b$ $b$ is $1.005$ $1.005$ $m$ $m$ ) are very large, but thickness $t$ $t$ is relatively much smaller at $2.01$ $2.01$ $c m .$ $cm.$ i.e. $0.0201$ $0.0201$ $m$ $m$ .

Hence volume is

$l \times b \times t = 4.234 \times 1.005 \times 0.0201 = 0.08553$ $lxxbxxt=4.234xx1.005xx0.0201=0.08553$ $m^{3}$ $m^3$ .

and total surface area is

$2 (l b + < + b t)$ $2(lb+lt+bt)$

= $2 \times (4.234 \times 1.005 + 4.234 \times 0.0201 + 1.005 \times 0.0201)$ $2xx(4.234xx1.005+4.234xx0.0201+1.005xx0.0201)$

= #2xx(4.25517+0.0851034+0.0202005)

= $2 \times 4.3604739$ $2xx4.3604739$

= $8.7209478 ≅ 8.721$ $8.7209478~=8.721$ $m^{2}$ $m^2$

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A plate has its dimensions $4.234 m$ $4.234m$ , $1.005 m$ $1.005m$ and thickness is $2.01$ $2.01$ $c m .$ $cm.$ What is its surface area and volume?

1 Answer

Explanation:

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A plate has its dimensions $4.234 m$ $4.234m$ , $1.005 m$ $1.005m$ and thickness is $2.01$ $2.01$ $c m .$ $cm.$ What is its surface area and volume?