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

Brand: MathMaster
Rating: 4.9 (224 reviews)

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)

What is the square of the product of a complex number and its conjugate?

Question: What is the domain of the trigonometric function f(x) = sin(x) + cos(2x) when x is restricted to values between -π/4 and 3π/4?

Question: Solve for x in the equation log(base 3) of (2x-1) = 4.

New questions in Mathematics

Let the vectors be u=(-1,0,2) , v=(0,2,-3) , w=(2,2,3) Calculate the following expressions a)<u,w> b) <2u- 5v,3w>

a ferry travels 1/6 of the distance between two ports in 3/7 hour. the ferry travels at a constant rate. at this rate, what fraction of the distance between the two ports can the ferry travel in one hour?

³√12 x ⁶√96

4.2x10^_6 convert to standard notation

4x567

To make brine, José buys 1 kg of salt and pays 12 pesos. If he buys 4 kg, they charge him 48 pesos, but for 100 pesos they sell him 9 kg. What is the constant of proportionality?