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Froblems: container has the following dimensions; length Yd What is the perimeter Of the container? What is the area of the container? I the container has height of...

Question

Froblems: container has the following dimensions; length Yd What is the perimeter Of the container? What is the area of the container? I the container has height of 10 m, what is its volumne in m"? Convert the volume of the container in dm' gallons of water the container can hold? How many dm? liter and gallon =3.78 liters) (Remember

Froblems: container has the following dimensions; length Yd What is the perimeter Of the container? What is the area of the container? I the container has height of 10 m, what is its volumne in m"? Convert the volume of the container in dm' gallons of water the container can hold? How many dm? liter and gallon =3.78 liters) (Remember



Answers

A rectangular solid measures $1.0 \mathrm{~m}$ by $2.4 \mathrm{~mm}$ by $3.9 \mathrm{dm} .$ What is the volume in liters?

We are going to do problem number 61. In this question, it is said that the inside of the thermos has a radius. Letters idea 61 the inside of a term Assad radius is it calls toe three centimeter and a height. Physicals toe 15 centimeter. The Thomas is in the shape off. Right? Circular, slender men's. It is a slender cylindrical Thomas. Okay, cylindrical thermos. So we have to find out how much liquid it can hold. How much liquid it can. Also For that, we need to find its volume. So let us find the volume of Cylindrical Thomas. Okay, Geometrical. Tell us this will be equals. True. That is by Alex Quade Rich. So here, Why is 3.14? Artist three is Squire and edges shifting. So we'll find this on. We will be. They're starting the answer in the term of Centimeter Cube. So let's see. 3.14 into nine into 15. How much it comes? It comes 423.9 centimeter cube. Okay, so we can say that Thomas will hold. Will hold that. Is it close to 423.9. Sending me to queue. Okay, so this will be the answer. That's all. Thank you very much.

We are going to do problem number 65. So, in this question, what we have to do is we have to find out how many gallons of water will the reserve wire hold. Okay, so the dimension off this is why it is given that dimension is let us right here. The dimension on the reason why it is given that is equal. Uh, 60 ft long. Andi. 19 ft wide on 50 ft, day length, breadth and height is given. Uh, this is the dimension of the wire, which is in the the singular form, so it will basically form a queue. Boyd. Okay, Cuba. It's a cue by itself if we look it from top to bottom so we can find its volume here. So volume will be equals toe length in tow, breath into height. So as dimension is given, So we can just right here, 60 in tow, 19 into 50. So let us see how much it gives us 60 into 50 into 19. So this will give us 57,000 ft cube to 7000 ft. Cube. Now it is said that 1 ft. You in the question, it is given that 1 ft. Cube again. 1 ft cube is approximately equals toe. 7.48 gallons off water. Okay, so for 57,000. So for 57,000 Feed Cube, we have to multiply this value That is 57,000 into 7.48 This will give us the total number of gallons of water. So let us multiply this into seven point for it. Okay, so this will be equals to four, 26 360 gallons off water. Okay, so what we can say that our reserve, I I can hold this month gallons of water. So that's all. Thank you.

Okay in this problem. Well, given that the volume of this photo can be equals 2 40 pie Cuban centimeters and were given that the hide off with a little rounder is 10 centimeters and the question of the question that has to find the diamond of his little can and this question also give us a hint to tell. Look at the formula for the volume off. The sooner in the front of the textbook and a human eyes this the volume of it photo can be equals. Two. Pi r squared Our that's radius times the height. Okay, so there's nothing this question that you've evolved timing there, but we see it doesn't involve radio, and we know from German tree that Diamond Ridge is two times the radius. So we can just use this equation to find the radio and hands that by two. Then we'll have the examiners. Let's plug the numbers in so we know the volume be it came into us. It's 40 pie. So there is on the left side. No right side pies, just the constant. Just remember like number six, though it was real value. It's stupid. One for just a number and radius is we're trying to find so variable here. And the height. We know it's given to us 10,000 years. Okay, times 10 you do a little time sign. Now we're trying to solve who are in this equation. So we see that pies on both side of the equation. So we can't divide post out of the question by pi to cancel these out. So if I develop, I just won the same thing on right side. The left left. That's where 40 people too hearts. Where? Times 10. No, we want one. So far, so want. I feel it are. So I have found now be rid of this 10 right here so we can just get rid of this 10 but dividing both side by 10. So it cancels out on the right side. And what is what did even about 10 45 minutes? Four. So four equal cheap are square. Now, how do we cancel out this square right here? Well, we use this operation called Square Root. So basically we're asking one number. Times itself is equal to four. So the square you will have throughout these the power here and with this group of four. What's to So there's actually an though here, so our could also be equal to negative feeling. This case you can check right here because negative times negative is also equal to four. But here are is ripping any radius office window of count 10 and it wouldn't make sense would ever be inactive. So that's the only answer would care about. So we think it's causes of the seven makes sense. So then let left out. Switch radius is equal to centimeters, and we know that the diameter of the pen is just two times radius from geometry. So the sequel to two times are Let's plug it in right here it was, too. What is our two? That left with war centimeters, and that is the final answer.

We've got a cylinder look, something like this with an unknown radius and a known height of 10 centimeters. Now let's determine the radius using one more piece of information. The volume we have that the volume is equal to 10. Sorry, 40 times pi cubic centimeters. With that in mind, we should be able to solve. Now, if you look in the book, you'll find that the formula for volume of a cylinder is equal to pi r Squared H, where R is the radius and H is the height plugging in what we know we can get 40 pie. That's the volume is equal to pi times R squared. We still know our times h or 10. Now we can cancel a pie from both sides. This will leave us with 40 equals R squared times ton, and then we could divide both sides by 10. This will leave us with R squared, is equal to four or are is equal to two. Now we're not quite done yet, though we're looking for the diameter and diameter is equal to two times radius. Thus, our diameter is two times two or four centimeters. That's our final answer


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