**Solving volume problems worksheet :**

Worksheet on solving volume problems is much useful to the students who would like to practice solving word problems on volume of prisms.

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 ?

2. A rectangular swimming pool is 15 meters long, 10 1/2 meters wide, and 2 1/2 meters deep. What is its volume?

**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

After having gone through the stuff given above, we hope that the students would have understood "Worksheet on solving volume problems".

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