A box is a cuboid with dimensions 28cm by 15 cm by 20 cm all measured to the nearest centimetre.
Disc cases are cuboids which measure 1.5 cm by 14.2 cm by 19.cm all measured to the nearest millimetre.
Show that 17 disc cases, stacked as shown, will definitely fit in the box.
Answers
Answered by
15
Answer:
27.5x14.5x19.5=7775.625cm³
1.55x14.25x19.35=427.393125cm³
7775.625÷427.393125=18.1931447
17 discs will definitely fit.
27.5 ÷ 1.55 = 17.74
(If answering on MW, make sure to include the last line)
Step-by-step explanation:
- You work out the lower bound of the box (lowest possible number as it is to the nearest centimetre) so 28 = 27.5, 15 = 14.5, 20 = 19.5. Multiply all of these three to get your lowest possible volume of the cuboid (7775.625cm^3)
- Work out the upper bound of the discs (highest possible number to the nearest millimetre) so 1.5 = 1.55, 14.2 = 14.25, 19 = 19.5. Multiply all of these to get your highest possible disc size (427.393125cm^3)
- Divide the lower bound of the box by the upper bound and this will get you 18.1931447, and 17 < 18.1931447 thus it will definitely fit
- You ALSO need to put in 27.5 (lower bound width of the box) divided by 1.55 (upper bound width of the disc) to get the full marks, this equals 17.74 which is greater than 17.
- You need to include all information to get the full marks.
Answered by
0
Answer:
Step-by-step explanation:
cuboid:
LB=19.5×27.5×14.5=7775.625
UB=20.5×28.5×15.5=9055.875
disc:
LB=1.45×14.15×19.25=394.961875
UB:1.55×14.2×19.35=425.8935
total:
LB:394.61×17=6714.337
UB:425.8935×17=7240.1895
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