Question

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?

Answer 1

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

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