The internal dimensions of a closed wooden box are 35cm,25cm,15cm thickness of the wood is 2.5 cm.What is the volume of wood used in making the box?
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Inner dimensions of wooden box are 35cm , 25 cm and 15 cm.
Outer dimensions will be obtained by adding thickness of box to inner dimensions, Outer dimensions = (35+(2.5×2))cm , (25+(2.5×2)) cm , (15+(2.5×2))cm = 40 cm , 30 cm , 20 cm
Volume of wooden box (including thickness)-
lbh = 40 × 30 × 20
= 24000cm³
Internal volume of wooden box -
lbh = (35×25×15)cm³
=13125 cm³
Volume of wood used will be volume including thickness - Internal volume.
=( 24000 - 13125)cm³ = 10875cm³
Answer) Volume of wood used is 10875cm³
Outer dimensions will be obtained by adding thickness of box to inner dimensions, Outer dimensions = (35+(2.5×2))cm , (25+(2.5×2)) cm , (15+(2.5×2))cm = 40 cm , 30 cm , 20 cm
Volume of wooden box (including thickness)-
lbh = 40 × 30 × 20
= 24000cm³
Internal volume of wooden box -
lbh = (35×25×15)cm³
=13125 cm³
Volume of wood used will be volume including thickness - Internal volume.
=( 24000 - 13125)cm³ = 10875cm³
Answer) Volume of wood used is 10875cm³
mysticd:
L=inner length+ 2×thickness
Answered by
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Answer:
35 cm, 25 cm and 15 cm.
Outer dimensions will be obtained by adding thickness of box to inner dimensions, Outer dimensions = (35+(2.5x2))cm , (25+(2.5×2)) cm, (15+(2.5x2))cm = 40 cm , 30 cm , 20 cm =
Volume of wooden box (including thickness)
Ibh = 40 x 30 x 20
= 24000cm3
Internal volume of wooden box - Ibh = (35x25x15)cm =13125 cm3
Volume of wood used will be volume including thickness - Internal volume. =( 24000 - 13125)cm3 = 10875cm3
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