All categories

2 years ago

Calculate volume with fractional edge lengths

Mathematics

1 answer:

jeyben [28]2 years ago

4 0

Answer:

8/27 m^3

Step-by-step explanation:

Vol = l × w × h

= 2/3 × 2/3 × 2/3

= 2×2×2 / 3×3×3

= 8/27 m^3

When you're multiplying fractions, just multiply

top × top × top

And bottom×bottom×bottom

Simplify when possible.

8/27 cannot be simplified.

You might be interested in

Find the value of each variable help fast

Leviafan [203]

Answer:

$a=10\sqrt{3}\ units$ , $b=5\sqrt{3}\ units$ , $c=15\ units$ , $d=5\ units$

Step-by-step explanation:

see the attached figure with letters to better understand the problem

step 1

Find the value of b

In the right triangle BCD

$sin(60\°)=\frac{b}{10}$

$b=sin(60\°)(10)$

Remember that

$sin(60\°)=\frac{\sqrt{3}}{2}$

$b=\frac{\sqrt{3}}{2}(10)$

$b=5\sqrt{3}\ units$

step 2

Find the value of d

In the right triangle BCD

$cos(60\°)=\frac{d}{10}$

$d=cos(60\°)(10)$

Remember that

$cos(60\°)=\frac{1}{2}$

$d=\frac{1}{2}(10)$

$d=5\ units$

step 3

Find the value of a

In the right triangle ABD

$sin(30\°)=\frac{b}{a}$

$a=\frac{b}{sin(30\°)}$

Remember that

$sin(30\°)=\frac{1}{2}$

$b=5\sqrt{3}\ units$

$a=\frac{5\sqrt{3}}{(1/2)}$

$a=10\sqrt{3}\ units$

step 4

Find the value of c

In the right triangle ABD

$cos(30\°)=\frac{c}{a}$

$c=(a)cos(30\°)$

Remember that

$cos(30\°)=\frac{\sqrt{3}}{2}$

$a=10\sqrt{3}\ units$

substitute

$c=(10\sqrt{3})\frac{\sqrt{3}}{2}$

$c=15\ units$

therefore

$a=10\sqrt{3}\ units$

$b=5\sqrt{3}\ units$

$c=15\ units$

$d=5\ units$

3 0

3 years ago

“Calculate the lengths of the 2 unlabeled sides”

Tpy6a [65]

Answer:

NL = 4.33

NM = 5

Step-by-step explanation:

tan 60° = NL/2.5

tan 60° = 1.7321

so:

1.7321 = NL/2.5

NL = (2.5)(1.7321)

NL = 4.33

cos 60° = 2.5/NM

cos 60° = 0.5

so:

0.5 = 2.5.NM

NM = 2.5/0.5

NM = 5

8 0

3 years ago

Do these three segments make a right triangle? 16m, 30m, and 34m

tekilochka [14]

Answer:

it is a right triangle

Step-by-step explanation:

i have no explanation my sister told me with no explanation sorry

3 0

3 years ago

Read 2 more answers

If sahra got 60 eggs, how many dozens is that?

shusha [124]

Sahra has 5 dozen eggs

60/12=5

4 0

3 years ago

5+5+10+10+20+15-13+17

Pavel [41]

95 is the right answer

7 0

3 years ago