(5) A rectangular tank of height 40cm had a base area of 300cm^(2). It was filled with water to a depth of 30cm. After some water was poured out, the depth of the water decreased to 20cm. How much water was poured out? Give your answer in litres. ( ℓ=1000cm^(3) )

Calculate Initial Volume: First, we need to calculate the volume of water that was initially in the tank when it was filled to a depth of 30cm. Volume of water initially = base area × initial depthCalculate Volume After Pouring: We are given the base area of the tank as 300cm^2 and the initial depth as 30cm. Volume of water initially = 300cm^2 × 30cm = 9000cm^3Find Difference in Volume: Next, we calculate the volume of water in the tank after some water was poured out and the depth decreased to 20cm. Volume of water after pouring = base area × new depthConvert to Liters: The base area remains the same, 300cm^2, and the new depth is 20cm. Volume of water after pouring = 300cm^2 × 20cm = 6000cm^3Now, we find the difference in volume to determine how much water was poured out. Water poured out = Volume of water initially - Volume of water after pouringWe subtract the volume of water after pouring from the initial volume of water. Water poured out = 9000cm^3 - 6000cm^3 = 3000cm^3Finally, we convert the volume of water poured out from cubic centimeters to liters, knowing that 1 liter is equivalent to 1000 cubic centimeters. Water poured out in liters = Water poured out in cm^3 ÷ 1000We perform the conversion using the given relationship. Water poured out in liters = 3000cm^3 ÷ 1000 = 3 liters

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(5) A rectangular tank of height
40cm had a base area of
300cm^(2). It was filled with water to a depth of
30cm. After some water was poured out, the depth of the water decreased to
20cm. How much water was poured out? Give your answer in litres. (
ℓ=1000cm^(3) )

( $5$ ) A rectangular tank of height $40 \mathrm{~cm}$ had a base area of $300 \mathrm{~cm}^{2}$ . It was filled with water to a depth of $30 \mathrm{~cm}$ . After some water was poured out, the depth of the water decreased to $20 \mathrm{~cm}$ . How much water was poured out? Give your answer in litres. ( $\ell=1000 \mathrm{~cm}^{3}$ )

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Q. (

5

) A rectangular tank of height

40 \mathrm{~cm}

had a base area of

300 \mathrm{~cm}^{2}

. It was filled with water to a depth of

30 \mathrm{~cm}

. After some water was poured out, the depth of the water decreased to

20 \mathrm{~cm}

. How much water was poured out? Give your answer in litres. (

\ell=1000 \mathrm{~cm}^{3}

)

Calculate Initial Volume: First, we need to calculate the volume of water that was initially in the tank when it was filled to a depth of $30\,\text{cm}$ . $\newline$ Volume of water initially $= \text{base area} \times \text{initial depth}$
Calculate Volume After Pouring: We are given the base area of the tank as $300\,\text{cm}^2$ and the initial depth as $30\,\text{cm}$ . Volume of water initially = $300\,\text{cm}^2 \times 30\,\text{cm} = 9000\,\text{cm}^3$
Find Difference in Volume: Next, we calculate the volume of water in the tank after some water was poured out and the depth decreased to $20\,\text{cm}$ . $\newline$ Volume of water after pouring = base area $\times$ new depth
Convert to Liters: The base area remains the same, $300\,\text{cm}^2$ , and the new depth is $20\,\text{cm}$ . Volume of water after pouring = $300\,\text{cm}^2 \times 20\,\text{cm} = 6000\,\text{cm}^3$
Convert to Liters: The base area remains the same, $300\,\text{cm}^2$ , and the new depth is $20\,\text{cm}$ . Volume of water after pouring = $300\,\text{cm}^2 \times 20\,\text{cm} = 6000\,\text{cm}^3$ Now, we find the difference in volume to determine how much water was poured out. Water poured out = Volume of water initially - Volume of water after pouring
Convert to Liters: The base area remains the same, $300\,\text{cm}^2$ , and the new depth is $20\,\text{cm}$ . Volume of water after pouring = $300\,\text{cm}^2 \times 20\,\text{cm} = 6000\,\text{cm}^3$ Now, we find the difference in volume to determine how much water was poured out. Water poured out = Volume of water initially - Volume of water after pouring We subtract the volume of water after pouring from the initial volume of water. Water poured out = $9000\,\text{cm}^3 - 6000\,\text{cm}^3 = 3000\,\text{cm}^3$
Convert to Liters: The base area remains the same, $300\text{cm}^2$ , and the new depth is $20\text{cm}$ . Volume of water after pouring = $300\text{cm}^2 \times 20\text{cm} = 6000\text{cm}^3$ Now, we find the difference in volume to determine how much water was poured out. Water poured out = Volume of water initially - Volume of water after pouring We subtract the volume of water after pouring from the initial volume of water. Water poured out = $9000\text{cm}^3 - 6000\text{cm}^3 = 3000\text{cm}^3$ Finally, we convert the volume of water poured out from cubic centimeters to liters, knowing that $1$ liter is equivalent to $1000$ cubic centimeters. Water poured out in liters = Water poured out in $\text{cm}^3 \div 1000$
Convert to Liters: The base area remains the same, $300\,\text{cm}^2$ , and the new depth is $20\,\text{cm}$ . Volume of water after pouring = $300\,\text{cm}^2 \times 20\,\text{cm} = 6000\,\text{cm}^3$ Now, we find the difference in volume to determine how much water was poured out. Water poured out = Volume of water initially - Volume of water after pouring We subtract the volume of water after pouring from the initial volume of water. Water poured out = $9000\,\text{cm}^3 - 6000\,\text{cm}^3 = 3000\,\text{cm}^3$ Finally, we convert the volume of water poured out from cubic centimeters to liters, knowing that $1$ liter is equivalent to $1000$ cubic centimeters. Water poured out in liters = Water poured out in $\text{cm}^3 \div 1000$ We perform the conversion using the given relationship. Water poured out in liters = $3000\,\text{cm}^3 \div 1000 = 3$ liters