Mathematics: Helen has only 10 questions left to do of her Math homework. She has 120 minutes before it s her bedtime and it takes 5 minutes to doeach Math question. Describe the pattern and determine how muchtime she will have available after her homework is complete.A)Start at 120 and add 5 each time. She will have 70 minutes of free time after she finishes her math questions.B) Start at 120 and subtract 5 each time. She will have 70 minutes of free time after she finishes her math questions.C)Start at 120

Helen has only 10 questions left to do of her Math

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11.01.2020

1. The volume of cube is $\frac{8}{27} \ cubic\ units.$

2. The edge length of cube is $\frac{3}{4} \ units.$

3. The side length of square is $\frac{1}{4} \ units.$

Step-by-step explanation:

Given:

1. A cube with edge lengths of 2/ 3 units.

2. A cube with volume 27 /64 cubic units.

3. A square with area 1/ 16 square units.

Now, to get the volume and edge length of cube and side length of square.

1. So, to get the volume we put formula:

Edge = $\frac{2}{3} \ units.$

Volume=(edge)^3

$Volume=(\frac{2}{3} )^3\\\\Volume=\frac{8}{27} \ cubic\ units.$

2. Now, to get the edge length of cube we put formula:

Volume = $\frac{27}{64} \ cubic\ units.$

Volume=(edge)^3

$\frac{27}{64}=(edge)^3\\\\$

Using cube root on both sides we get:

$\frac{3}{4} =edge\\\\Edge=\frac{3}{4} \ units.$

3. Now, to get the side length of square we put formula:

Area = $\frac{1}{16} \ units.$

Area= (side)^2

$(\frac{1}{16} )=(side)^2$

Using square root on both sides we get:

$\frac{1}{4} =side$

$Side=\frac{1}{4} \ units.$

Therefore, 1. the volume of cube is $\frac{8}{27} \ cubic\ units.$

2. the edge length of cube is $\frac{3}{4} \ units.$

3. the side length of square is $\frac{1}{4} \ units.$

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