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An aquarium can be modeled as a right rectangular prism. Its dimensions are 17 in by 13 in by 12 in. How many cubic inches of water are in it when it is full? Round your answer to the nearest tenth if necessary.

An aquarium can be modeled as a right rectangular prism. Its dimensions are 1717 in by 1313 in by 1212 in. How many cubic inches of water are in it when it is full? Round your answer to the nearest tenth if necessary.

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Full solution

Q. An aquarium can be modeled as a right rectangular prism. Its dimensions are 1717 in by 1313 in by 1212 in. How many cubic inches of water are in it when it is full? Round your answer to the nearest tenth if necessary.
  1. Calculate Volume Formula: To find the volume of the aquarium, we need to multiply its length, width, and height.\newlineVolume = Length×Width×Height\text{Length} \times \text{Width} \times \text{Height}
  2. Given Dimensions: Using the given dimensions of the aquarium, we have:\newlineVolume = 17 in×13 in×12 in17 \, \text{in} \times 13 \, \text{in} \times 12 \, \text{in}
  3. Perform Multiplication: Now, we perform the multiplication to find the volume:\newlineVolume = 17×13×12=221217 \times 13 \times 12 = 2212 cubic inches
  4. Final Volume: Since the problem does not require rounding to the nearest tenth, we can leave the answer as is.\newlineFinal volume = 22122212 cubic inches
  5. Correct Unit: We have completed the calculation without any errors, and the final answer is in cubic inches, which is the correct unit for volume.

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