Question

4.A cubical box has edge 8 cm and another cuboidal box is 10 cm long 8 cm wide and 6 cm high.Which box has greater total surface area and by how much
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Answer 1

Answer:

The external dimensions of a wooden box, open at the top are 54 cm by 3 cm by 16 cm. It is mod of wood 2 cm thick, calculate (i) the capacity of the box (ii) the volume of wood.

Answer 2

Step-by-step explanation:

$\large{\underline{\underline{\textsf{\maltese\:{\red{Given}}}}}}$

$\sf{Side\: of\: a\: cubical\: box = 8cm}$

$\sf{Length, \:(l) \:of \:cuboidal\: box = 10 cm}$

$\sf{Breadth, \:(b) \:of \:cuboidal \:box = 8cm}$

$\sf{Height, (h) \:of \:cuboidal \:box = 6 cm}$

$\large{\underline{\underline{\textsf{\maltese\:{\red{To\: Find}}}}}}$

$\sf{Which\: box \:has \:the \:greater\: total\: surface \:area}[tex]\sf{and\: by \:how\: much \:?}$

$\large{\underline{\underline{\textsf{\maltese\:{\red{Solution}}}}}}$

$\sf{Total\: surface\: area\: of\: cubical\: box = 6 (side)^2}$

$\sf{= 8(10)^2}$

$\sf{= 800 cm^2}$

$\sf{Lateral \:surface\: area\: of\: cuboidal\: box = 2[lb+bh+lh]}$

$\sf{= [2(10×8+8×6+6×10)]}$

$\sf{= (2×188= 248}$

$\underline{\underline{\textsf{Difference:}}}$

$\sf{Total\: surface \:area\: of\: cubical\: box – Total\: surface\: area \:of\: cuboidal\: box}$

$\sf{=800cm^2–248cm^2 = 552 cm^2}=</p><p> </p><p></p><p>[tex]\sf{Therefore\:, the\: total\:surface\: area\: of \:the}$ $\sf{cubical\:box\: is \:greater \:than\: that \:of \:the\: cuboidal\: box\: by}$$\sf{552cm^2}$