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Course: Grade 5 math (FL B.E.S.T.)>Unit 10

Lesson 5: Volume word problems

Volume word problem: water tank

The video dives into the concept of volume, specifically focusing on how to calculate the volume of a complex shape by subtracting the volume of an object within it from the total volume. Understand the formula for volume and its application in real-world problems. Created by Sal Khan.

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• A rectangular container of oil is 20 cm long and 12 cm wide . It contains 1.680 l of oil . What is depth of the container?
• Well, V=lwh, which means volume is equal to length*width*hight (depth). Since we know the length, width, and volume; all we need to know is the depth. In order to figure that out, divide length*width on both sides of the equation (V=lwh to V/lw=h). So we now figure out how to figure out the depth. Substitute the numbers into the equation, so 1.680 liters divided by 240 cm^2 (this number came from 20 times 12 which equals to 240). Since 1 liter is equal to 1000 cm^3, 1.680 liters is equal to 1,680 cm^3, so 1,680 divided by 240 cm^2 is equal to 7 cm ( the unit came from cm^3 divided by cm^2 which results in the linear unit cm).
• how do you do it if one of the side lengths is missing because my problem says " A pool is filled with 270 cubic meters of water. The base of the pool is 15m long and 9m wide. What is the height of the water in the pool?" 😵😵
• Volume = Length (width) (height)
You were given volume, length and width.
Plug them into the formula in their respective spots, then solve for height.

Give it a try. Comment back if you get stuck.
• Is it pretty much getting the volume of both and then subtracting them?
• actually yes
• how would you know if you are supposed to solve volume, or surface area
• In a word problem, the description of the problem is going to tell you. It will either be describing or asking about volume or about surface area.
• wont it be l*w*h
• In my math homework I have a cube that is 6ft high and their ate bo other numbers how will I be a blessing to solve this by using surface area or volume?
• If it is a cube, the length, width and height are equal. So the cube is 6 ft. high, 6ft. long and 6 ft. wide. You can calculate both the volume and the surface area. The volume is equal to the length x the width x the height and the surface area if found by finding the area of one face and multiplying it by 6 since there are six equal faces on a cube. :-)
• How many boxes can you find that will hold two times as many cubes as a 2x3x4 box.