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: How can you factor the expression x^2 - 4 using the difference of squares formula?
+
Math question: A car travels at a constant speed of 60 mph for 2.5 hours. How far does it travel?
+
Math Question: What is the 4th derivative of f(x) = 3x^5 - 2x^3 + 7x - 1?
+
New questions in Mathematics
How to find the value of x and y which satisfy both equations x-2y=24 and 8x-y=117
Simplify the expression sin³(x)+cos³(x), using trigonometric functions
String x = 5 Int y=2 System.out.println(x+y)
[(36,000,000)(0.000003)^2]divided(0.00000006)
2.5 / 21.85
(3x^(2) 9x 6)/(5x^(2)-20)
If eight basketball teams participate in a tournament, find the number of different ways that first, second, and third places can be decided assuming that no ties are allowed.
Determine the momentum of a 20 kg body traveling at 20 m/s.
Suppose SAT reading scores are normally distributed with a mean of 496 and a standard deviation of 109. The University plans towards scholarships for students who scores are in the top 7%. What is the minimum score required for the scholarship round your answer to the nearest whole number.
Clara usually walks briskly to the farmers' market and it takes her 22 minutes. Today she walked leisurely and it took 61/2 minutes. How much more time than usual did she take to reach the market today?
1. A pediatric client is prescribed digoxin for congestive heart failure. The dose prescribed is 40 mcg/kg twice daily. The child weighs 33 pounds. What is the dosage in mg to be given per dose? Round to the nearest hundredth. Calculate your answer in mg per dose. Enter numerical value only.____mg
30y - y . y = 144
a survey showed that 3 out of 7 voters would vote in an election. based on this survey, how many people would vote in a city with 25,000 people?
17. A loan for $104259 is taken out for 10 years with an annual interest rate of 9.4%, compounded quarterly. What quarterly payment is required to pay the loan off in 10 years? Enter to the nearest cent (two decimals). Do not use $ signs or commas in the answer.
Log0
Farm Grown, Inc., produces cases of perishable food products. Each case contains an assortment of vegetables and other farm products. Each case costs $5 and sells for $15. If there are any not sold by the end of the day, they are sold to a large food processing company for $3 a case. The probability that daily demand will be 100 cases is 0.30, the probability that daily demand will be 200 cases is 0.40, and the probability that daily demand will be 300 cases is 0.30. Farm Grown has a policy of always satisfying customer demands. If its own supply of cases is less than the demand, it buys the necessary vegetables from a competitor. The estimated cost of doing this is $16 per case. (a) Draw a decision table for this problem (b) What do you recommend?
Find I (Intrest) using simple interest formula of 17700 @ 15% for 4 years
25) Paulo saves R$250.00 per month and keeps the money in a safe in his own home. At the end of 12 months, deposit the total saved into the savings account. Consider that, each year, deposits are always carried out on the same day and month; the annual yield on the savings account is 7%; and, the yield total is obtained by the interest compounding process. So, the amount that Paulo will have in his savings account after 3 years, from the moment you started saving part of your money monthly, it will be A) R$6,644.70. B) R$ 9,210.00. C) R$ 9,644.70. D) R$ 10,319.83. E) R$ 13,319.83
Kayla started a book club at her school. The number of girls in the book club was one more than twice the number of boys. If there are 15 girls in the book club, how many boys are in the club?
Write a linear equation in the slope-intercept form. Slope of the line is -1 and goes through (8,4)