All categories

2 years ago

A rectangular fish tank is 50 cm long, 40 cm wide, and 30 cm high.

Mathematics

1 answer:

Alexxx [7]2 years ago

5 0

Answer:

a) 60,000 cubic cm; b) 60,000 mL; c) 60 L

Step-by-step explanation:

a) V = l x w x h

V = 50 cm x 40 cm x 30 cm = 60,000 cubic cm

b) 1 cubic cm = 1 mL, therefore 60,000 cubic cm = 60,000 mL

c) 1000 mL = 1 L; 60,000 mL = 60 L

You might be interested in

In a right triangle ABC, CD is an altitude, such that AD=BC. Find AC, if AB=3 cm, and CD= 2 cm.

konstantin123 [22]

Consider right triangle ΔABC with legs AC and BC and hypotenuse AB. Draw the altitude CD.

1. Theorem: The length of each leg of a right triangle is the geometric mean of the length of the hypotenuse and the length of the segment of the hypotenuse adjacent to that leg.

According to this theorem,

$BC^2=BD\cdot AB.$

Let BC=x cm, then AD=BC=x cm and BD=AB-AD=3-x cm. Then

$x^2=(3-x)\cdot 3,\\ \\x^2=9-3x,\\ \\x^2+3x-9=0,\\ \\D=3^2-4\cdot (-9)=9+36=45,\\ \\\sqrt{D}=\sqrt{45}=3\sqrt{5},\\ \\x_1=\dfrac{-3-3\sqrt{5} }{2}0.$

Take positive value x. You get

$AD=BC=\dfrac{-3+3\sqrt{5} }{2}\ cm.$

2. According to the previous theorem,

$AC^2=AD\cdot AB.$

Then

$AC^2=\dfrac{-3+3\sqrt{5} }{2}\cdot 3=\dfrac{-9+9\sqrt{5} }{2},\\ \\AC=\sqrt{\dfrac{-9+9\sqrt{5} }{2}}\ cm.$

Answer: $AC=\sqrt{\dfrac{-9+9\sqrt{5} }{2}}\ cm.$

This solution doesn't need CD=2 cm. Note that if AB=3cm and CD=2cm, then

$CD^2=AD\cdot DB,\\ \\2^2=AD\cdot (3-AD),\\ \\AD^2-3AD+4=0,\\ \\D$

This means that you cannot find solutions of this equation. Then CD≠2 cm.

8 0

4 years ago

Read 2 more answers

Help please need asap!! Thank you

olganol [36]

Answer:

your welcome

Step-by-step explanation:

....bbc

6 0

2 years ago

HELP QUICK! 15 POINTS

almond37 [142]

it will be 8.25 hope this helped

6 0

3 years ago

a man steals 500naira from a shop,then bought an items worth 200naira collect 300naira change.how much does the shop keeper lose

Liono4ka [1.6K]

Aaaaaaaaaaaaaasssssssssssssssuiiiiiiiiiiiiiyyyyyyyyyyyyyyaaaaaaaaaaaaxrgcghgg%%%%%%%

5 0

3 years ago

How many times smaller will a number become if is it decreased by 20%?

stealth61 [152]

Answer:

Step-by-step explanation:

I'm unsure why my answer was deleted, randomly deleted a thoroughly explained answer.

20% is 20/100, 1/5, or 0.2

The number will decrease by a factor of 5.

3 0

3 years ago