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Course: 7th grade foundations (Eureka Math/EngageNY)>Unit 6

Lesson 4: Topic E: Foundations

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
(1 vote)
• can we just appreciate how much of an artist sal is
• 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.
• this has made me thirsty
• wont it be l*w*h