Using the formula for the volume of a cube, it is found that the expression which gives the ratio of the side length of Cube A to the side length of Cube B is:

$r = \frac{3^{\frac{2}{3}}}{5^{\frac{1}{3}}}$

Which means that option E is correct.

The volume of a cube of side length l is given by:

$V = l^3$

For Cube A, the volume is of 9 cubic inches, hence:

$l_a^3 = 9$

$l_a = \sqrt[3]{9}$

$l_a = 9^{\frac{1}{3}}$

$l_a = 3^{\frac{2}{3}}$

For Cube B, the volume is of 5 cubic inches, hence:

$l_b^3 = 5$

$l_b = \sqrt[3]{5}$

$l_b = 5^{\frac{1}{3}}$

Then, the ratio is:

$r = \frac{l_a}{l_b} = \frac{3^{\frac{2}{3}}}{5^{\frac{1}{3}}}$

To learn more about the volume of a cube, you can take a look at brainly.com/question/13030328

5 0

2 years ago

Virginia is selling boxes of chocolates for a school fundraiser. She started to graph the relationship between the number of cho

marysya [2.9K]

Answer:

OC:15

Step-by-step explanation:

5×3=15

I hope this helps

4 0

2 years ago

Read 2 more answers

A circle has a diameter of 13 centimeters and a central angle EOG that measures 280°. What is the length of the intercepted arc

Ray Of Light [21]

Radius = 6.5 cm
central angle 280 * 180/PI = 4.88 radians
arc length = radius * central angle (radians)
arc length = 6.5 * 4.88
arc length = 31.8 cm
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Double Check

Circumference entire circle = 2 * PI * radius

Circumference entire circle = 2 * 3.14 * 6.5

Circumference entire circle = 40.82

Arc Length = 40.82 * (280 / 360)

Arc Length = 31.8 cm

3 0

3 years ago