SOLVING VOLUME PROBLEMS WORKSHEET
Problem 1 :
A terrarium is shaped like a rectangular prism. The prism is 25 inches long, 13 inches wide, and 16 inches deep. What is the volume of the terrarium ?
Problem 2 :
A rectangular swimming pool is 15 meters long, 10 1/2 meters wide, and 2 1/2 meters deep. What is its volume?
Detailed Answer Key
Problem 1 :
A terrarium is shaped like a rectangular prism. The prism is 25 inches long, 13 inches wide, and 16 inches deep. What is the volume of the terrarium ?
Solution :
Step 1 :
From the given information, we can have the following figure.
Step 2 :
In the above figure, the base is in the shape of a rectangle with length 25 inches and width 13 inches.
Therefore,
Area of the base = length x width
Area of the base = 25 x 13
Area of the base = 325 square inches.
Step 3 :
Volume of the terrarium = Volume of rectangular prism
Volume of the terrarium = Base area x Height
Volume of the terrarium = 325 x 16
Volume of the terrarium = 5200 cubic inches
Problem 2 :
A rectangular swimming pool is 15 meters long, 10 1/2 meters wide, and 2 1/2 meters deep. What is its volume?
Solution :
Step 1 :
From the given information, we can have the following figure.
Step 2 :
In the above figure, the base is in the shape of a rectangle with length 15 meters and width 10 1/2 meters.
Therefore,
Area of the base = length x width
Area of the base = 15 x 10 1/2
Area of the base = 15 x 10.5
Area of the base = 157.5
Area of the base = 157.5 square inches.
Step 3 :
Volume of swimming pool = Volume of rectangular prism
Volume of the swimming pool = Base area x Height
Volume of the swimming pool = 157.5 x 2 1/2
Volume of the swimming pool = 157.5 x 2.5
Volume of the swimming pool = 393.75
Volume of the swimming pool = 393 75/100
Volume of the swimming pool = 393 3/4 cubic meters
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