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Find the volume of the Canada post mailbox shown below.

Find the volume of the Canada post mailbox shown below.-example-1

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Answer:

1,152,112.5 cm3

Explanation:

To find the volume of this mailbox we can separate in two parts:

A rectangular prism, with dimensions 180 cm x 70 cm x 85.5 cm and

A triangular prism, with dimensions 25 cm x 70 cm x 85.5 cm.

Now we need to find the volume of both parts:

V_rectangular = 180 * 70 * 85.5 = 1,077,300 cm3

V_triangular = (1/2) * 25 * 70 * 85.5 = 74,812.5 cm3

Finally, we just need to sum the volumes of the parts:

V_mailbox = V_rectangular + V_triangular = 1077300 + 74812.5 = 1,152,112.5 cm3

User Alexey Vagarenko
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