Questions: Question 8 (Multiple Choice Worth 2 points) (Volume of Rectangular Prisms MC) A coach needs to fill a rectangular container with water to have available for karate practice. If the dimensions of the container are 30 inches by 24 inches by 25.8 inches, what is the maximum amount of water that the rectangular container will hold? 18,576 in^3 9,288 in^3 4,226.4 in^3 2,113.2 in^3

Question 8 (Multiple Choice Worth 2 points)
(Volume of Rectangular Prisms MC)
A coach needs to fill a rectangular container with water to have available for karate practice. If the dimensions of the container are 30 inches by 24 inches by 25.8 inches, what is the maximum amount of water that the rectangular container will hold?
18,576 in^3
9,288 in^3
4,226.4 in^3
2,113.2 in^3
Transcript text: Question 8 (Multiple Choice Worth 2 points) (Volume of Rectangular Prisms MC) A coach needs to fill a rectangular container with water to have available for karate practice. If the dimensions of the container are 30 inches by 24 inches by 25.8 inches, what is the maximum amount of water that the rectangular container will hold? $18,576 \mathrm{in}^{3}$ 9,288 in $^{3}$ $4,226.4 \mathrm{in}^{3}$ $2,113.2 \mathrm{in}^{3}$
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Solution

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To find the maximum amount of water that the rectangular container will hold, I need to calculate the volume of the rectangular prism.

Identify the dimensions of the rectangular container

The dimensions of the rectangular container are:

  • Length = 30 inches
  • Width = 24 inches
  • Height = 25.8 inches

Calculate the volume using the formula V = length × width × height

Volume = 30 inches × 24 inches × 25.8 inches Volume = 720 inches² × 25.8 inches Volume = 18,576 inches³

Determine the answer from the given options

The calculated volume is 18,576 in³, which matches the first option.

\(\boxed{\text{The maximum amount of water the container will hold is 18,576 in}^3}\)

The maximum amount of water that the rectangular container will hold is 18,576 in³. The answer is $18,576 \mathrm{in}^{3}$.

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