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2 years ago

What is the volume of a cube with a length of 10 meters?

Mathematics

1 answer:

bogdanovich [222]2 years ago

8 0

Given:

Length of side of cube = 10m

To Find:

Volume of cube.

Solution:

Using formula:

Volume of cube = (side)³

Volume of cube= (10)³

Volume of cube = 10 × 10 × 10

Volume of cube = 1000 m³

Hence,

Volume of cube is 1000m³

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Question 6 of 9 (3•8) • 1 = 3 • (8.1) O A. True B. False

olga nikolaevna [1]

Answer:

No, (false). The question I assume was: $(3*8)*1=3*(8.1)$

Step-by-step explanation:

1. Multiple: 3 * 8 = 24

2. Multiple: The result of step No. 1: * 1 = 24 * 1 = 24

3. Conversion a decimal number to a fraction: 8.1 = $\frac{81}{10}$ = $\frac{81}{10}$

a) Write down the decimal 8.1 divided by 1: 8.1 = $\frac{81}{1}$

b) Multiply both top and bottom by 10 for every number after the

decimal point. (For example, if there are two numbers after the decimal

point, then use 100, if there are three then use 1000, etc.)

$\frac{8.1}{1}$ = $\frac{81}{10}$

Note: $\frac{81}{10}$ is called a decimal fraction.

c) Simplify and reduce the fraction

$\frac{81}{10} = \frac{81*1}{10*1} = \frac{81}{10}$

4. Multiple: 3 * 8.1 = $\frac{3*81}{1*10}$ = $\frac{243}{10}$

Multiply both numerators and denominators. Result fraction keep to lowest

possible denominator GCD(243, 10) = 1. In the next intermediate step the

fraction result cannot be further simplified by canceling.

In words - three multiplied by eighty-one tenths = two hundred forty-three

tenths.

5. Compare: The result of step No. 2 vs The result of step No. 4: = 24 vs $\frac{243}{10}$ = $\frac{24}{1}$ vs $\frac{243}{10}$ = $\frac{24*10}{1*10}$ vs $\frac{243}{10}$ = $\frac{240}{10}$ vs $\frac{243}{10}$ = 240 vs 243 = No

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Step-by-step explanation:

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