A storage container for grain is in the shape of a square pyramid with the dimensions shown.
a) What is the volume of the container in cubic centimeters?
b) Grain leaks from the container at a rate of 4 cubic centimeters per second. Assuming the container starts completely full, about how many hours does it take until the container is empty?

The answer to your question is a) Volume = 500000 cm³ b) 34.7 hours

Step-by-step explanation:

Data

length of a side = 1 m = 100 cm

height = 1.5 m = 150 cm

Process

1.- Convert the values to cm

                1 m 100 cm

                 1m  x

                  x = (1 x 100)/1

                  x = 100 cm

                 1 m 100 cm

                1.5 m  x

                   x = (1.5 x 100) / 1

                   x = 150 cm

2.- Calculate the volume of the container

Volume = 1/3 Ab x h

-Substitution

Volume = 1/3 (100 x 100) x 150

-Simplification

Volume = 1/3 (150000)

-Result

Volume = 500000 cm³

b)

Leaking rate = 4 cm³/ 1 s

                       4 cm³ 1 s

           500000 cm³   x

                    x = (500000 x 1) / 4

                        x = 125000 s

-Convert seconds to hours

                      3600 s 1 h

                  125000 s    x

                      x = (125000 x 1)/3600

                          x = 34.7 hours

step-by-step explanation:

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step-by-step explanation: