Question
Find the volume, lateral surface area and the total surface area of the cuboid whose dimensions are:
Length $= 15\ m$, breadth $= 6\ m$ and height $= 9\ dm.$
Length $= 15\ m$, breadth $= 6\ m$ and height $= 9\ dm.$
✓
Answer
Length of cuboid $(l) = 15m$
Breadth$(b) = 6m$
Height $(h) = 9dm = 0.9m$
$a.$ Volume $= lbh = 15 \times 6 \times 0.9 = 81m^3$
$b.$ Lateral surface area $= 2(l + b) \times h$
$= 2(15 + 6) \times 0.9m^2$
$= 2 \times 21 \times 0.9 $
$= 37.8m^2$
$c.$ Total surface area $= 2[lb + bh + hl]$
$= 2(15 \times 6 + 6 \times 0.9 + 0.9 \times 15]m^2$
$= 2[90 + 5.4 + 13.5]m^2$
$= 2 \times 108.9$
$= 217.8m^2$
Breadth$(b) = 6m$
Height $(h) = 9dm = 0.9m$
$a.$ Volume $= lbh = 15 \times 6 \times 0.9 = 81m^3$
$b.$ Lateral surface area $= 2(l + b) \times h$
$= 2(15 + 6) \times 0.9m^2$
$= 2 \times 21 \times 0.9 $
$= 37.8m^2$
$c.$ Total surface area $= 2[lb + bh + hl]$
$= 2(15 \times 6 + 6 \times 0.9 + 0.9 \times 15]m^2$
$= 2[90 + 5.4 + 13.5]m^2$
$= 2 \times 108.9$
$= 217.8m^2$
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