A shipping container is in the shape of a right rectangular prism with a length of 2.5 feet, a width of 13 feet, and a height of 11 feet. The container is completely filled with contents that weigh, on average, 0.55 pound per cubic foot. What is the weight of the contents in the container, to the nearest pound?
Answers
Given data :
- A shipping container is in the shape of a right rectangular prism with a length of 2.5 feet, a width of 13 feet, and a height of 11 feet.
- The container is completely filled with contents that weigh on average, 0.55 pound per cubic foot.
To find : What is the weight of the contents in the container, to the nearest pound ?
Solution : according to given data and figure we know given container is in shape of the cuboid.
Here,
- Length of container = 2.5 feet
- Width of container = 13 feet
- Height of container = 11 feet
Now, we have to find the volume of the container, (so we use formula of volume of cuboid);
⟹ Volume of container = Length * Width * Height
⟹ Volume of container = 2.5 * 13 * 11
⟹ Volume of container = 32.5 * 11
⟹ Volume of container = 357.5 foot³
Here, we know container is completely filled with contents that weigh on average, 0.55 pound per cubic foot. ( Weight of one content is 0.55 pound per cubic foot.)
Now, to find weight of the contents ;
⟹ Weight of the contents = Volume of container * Weight of one content
⟹ Weight of the contents = 357.5 * 0.55
⟹ Weight of the contents = 196.625 pounds
Answer : Weight of the contents in the container is 196.625 pounds.
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