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3 years ago

A box is a cuboid with dimensions 28cm by 15cm by 20cm all measured to the nearest centimetre.

Mathematics

1 answer:

mariarad [96]3 years ago

7 0

Answer:

The 17 disc cases would definitely fit into the box.

Step-by-step explanation:

The given cuboid box has the dimensions 28cm by 15cm by 20cm.

Disc cases are cuboid with dimensions 1.5cm by 14.2cm by 19.3cm.

volume of a cuboid = length × width × height

Volume of the box = 28 × 15 × 20

= 8400 cubic centimeters

Volume of each disc case = 1.5 × 14.2 × 19.3

= 411.09 cubic centimeters

When the 17 disc cases are stacked it would have a volume.

The volume of 17 disc cases = 17 × volume of a case

= 17 × 411.09

= 6988.53 cubic centimeters

Thus comparing the volume for 17 disc cases and that of the cuboid box, the disc cases would definitely fit into the box.

i.e = $\frac{volume of box}{volume of 17 disc cases}$

= $\frac{8400}{6988.53}$

= 1.20

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Step-by-step explanation:

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As we see in the diagram (attachment) that it forms a right angled triangle and we have to calculate $\frac{dh}{dt}$ .

Lets calculate h.

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Differentiating with respect to time.

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⇒ Plugging the values.

⇒ $\frac{d(h)}{dt} =\frac{2(2400+2700)(5)}{2\times 5124.45}$ ...as $\frac{d(m+w)}{dt} = 5$ ft/sec

⇒ $\frac{d(h)}{dt} =4.9761$ ft/sec

So the rate from which man and woman moving apart is 4.9761 ft/sec.

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