Question

Mathematician Euler understood that it is possible to discover the number of edges in a solid with the number of faces and vertices. In this way, it was possible to understand the total volume of three-dimensional objects. In an area of Maria's house, a cube-shaped aquarium will be built, which will be installed in the courtyard of her house. However, Maria would like to know the total volume of this cube, to know how much water she will use. As data, we have: the aquarium will be 1 meter high, 50 cm long and 70 cm deep. Regarding the total volume of the cube, analyze the following sentences: I- The volume will be 0.35 m3, that is, 350 liters. II- The volume will be 35 m3, that is, 3,500 liters. III- The volume will be 0.35 m3, that is, 3,500 liters

224

likes

1120 views

Answer to a math question Mathematician Euler understood that it is possible to discover the number of edges in a solid with the number of faces and vertices. In this way, it was possible to understand the total volume of three-dimensional objects. In an area of Maria's house, a cube-shaped aquarium will be built, which will be installed in the courtyard of her house. However, Maria would like to know the total volume of this cube, to know how much water she will use. As data, we have: the aquarium will be 1 meter high, 50 cm long and 70 cm deep. Regarding the total volume of the cube, analyze the following sentences: I- The volume will be 0.35 m3, that is, 350 liters. II- The volume will be 35 m3, that is, 3,500 liters. III- The volume will be 0.35 m3, that is, 3,500 liters

$Expert avatar$

Santino

4.5

112 Answers

\text{Given: Height } = 1 \, \text{meter}, \, \text{Length } = 0.5 \, \text{meters}, \, \text{Depth } = 0.7 \, \text{meters}

### Calculation of Volume

The formula to calculate the volume of a rectangular prism is:

V = \text{Height} \times \text{Length} \times \text{Depth}

Substitute the given values:

V = 1 \, \text{meter} \times 0.5 \, \text{meters} \times 0.7 \, \text{meters}

V = 0.35 \, \text{cubic meters (m}^3)

Since 1 cubic meter equals 1,000 liters:

0.35 \, \text{m}^3 \times 1,000 \, \text{liters/m}^3 = 350 \, \text{liters}

### Analysis of Statements

I. The volume will be 0.35 m³, that is, 350 liters.
- **Correct**. The volume is 0.35 cubic meters, which is equivalent to 350 liters.

II. The volume will be 35 m³, that is, 3,500 liters.
- **Incorrect**. The correct volume is 0.35 cubic meters, not 35 cubic meters, and 35 cubic meters would convert to 35,000 liters.

III. The volume will be 0.35 m³, that is, 3,500 liters.
- **Incorrect**. The volume of 0.35 cubic meters is correct, but it equals 350 liters, not 3,500 liters.

### Conclusion

The only correct statement is:

I. The volume will be 0.35 m³, that is, 350 liters.

\textbf{Answer: } \text{Volume = 0.35 cubic meters or 350 liters}

Frequently asked questions (FAQs)

Math question: Given a parabola function 𝑦 = 2𝑥^2, determine the x-coordinate of the vertex using the formula −𝑏/(2𝑎).

What is the value of f(x) when the function is f(x) = c, where c is a constant?

What is the value of (25 * 6) - 12 divided by (4 + 3)?

New questions in Mathematics

Let f(x)=||x|−6|+|15−|x|| . Then f(6)+f(15) is equal to:

5) A family with a father, mother and 3 children must sit on five chairs in a row and the only restriction is that the mother must be at one end. In how many different ways can they be seated?

I) Find the directional derivative of 𝑓(𝑥, 𝑦) = 𝑥 sin 𝑦 at (1,0) in the direction of the unit vector that make an angle of 𝜋/4 with positive 𝑥-axis.

If f(x) = 3x 2, what is the value of x so that f(x) = 11?

Serum cholesterol levels in men aged 18 to 24 years have a normal distribution with a mean 178.1mg/100 ml and standard deviation 40.7 mg/100 ml. The. Randomly choosing a man between 18 and 24 years old, determine the probability of your serum cholesterol level is less than 200. B. Whether a serum cholesterol level should be judged too high if it is above 7% higher, determine the value of the separation level of levels that are too high. w. Determine a 90% reference range for serum cholesterol level among men from 18 to 24 years old.

-3x 2y = -6; -5x 10y = 30