**Modeling volume worksheets :**

Modeling volume worksheets are much useful to the students who would like to practice problems on 3-D shapes such as cubes, cuboids, prisms and pyramids.

1) Find the volume of the cuboid given below.

2) Find the volume of the cube given below.

3) Find the volume of the triangular prism given below.

4) Find the volume of the triangular prism given below.

5) Find the volume of the triangular prism given below.

6) Find the volume of the pyramid given below.

7) Find the volume of the pyramid given below.

8) Find the volume of the pyramid given below.

**Problem 1 : **

Find the volume of the cuboid given below.

**Solution : **

Here, the base is a rectangle and all the side walls are also rectangles.

Then, we have

**Volume of the cuboid = Base area x Height**

Here, the base is a rectangle with length 12 cm and width 4 cm.

Area of base = 12 x 4 = 48 sq. cm

Height of the cuboid = 8 cm

Volume of cuboid = 48 x 8

**Volume of cuboid = 384 cubic cm**

Let us look at the next problem on "Modeling volume worksheets"

**Problem 2 : **

Find the volume of the cube given below.

**Solution : **

Here, the base is a square and all the side walls are also squares.

Then, we have

**Volume of the cube = Base area x Height**

Here, the base is a square with side length of 8 cm.

Area of base = 8 x 8 = 64 sq. cm

Height of the cube = 8 cm

Volume of cube = 64 x 8

**Volume of cuboid = 512 cubic cm**

Let us look at the next problem on "Modeling volume worksheets"

**Problem 3 : **

Find the volume of the triangular prism given below.

**Solution : **

Here, the base is a rectangle, two of the side walls are triangles and other two side walls are rectangles.

Then, we have

**Volume of the prism = (1/2) x Base area x Height**

Here, the base is a rectangle with length 7 cm and width is 4 cm.

So, area of the base = 7 x 4 = 28 sq. cm

Height of the prism = 3 cm

Volume of the prism = (1/2) x 28 x 3

**Volume of the prism = 42 cubic cm**

Let us look at the next problem on "Modeling volume worksheets"

**Problem 4 : **

Find the volume of the triangular prism given below.

**Solution : **

Here, the base is a rectangle, two of the side walls are triangles and other two side walls are rectangles.

Then, we have

**Volume of the prism = (1/2) x Base area x Height**

Here, the base is a rectangle with length 12 cm and width is 8 cm.

So, area of the base = 12 x 8 = 96 sq. cm

Height of the prism = 3 cm

Volume of the prism = (1/2) x 96 x 3

**Volume of the prism = 144 cubic cm**

**Problem 5 : **

Find the volume of the triangular prism given below.

**Solution : **

Here, the base is a triangle, and all the side walls are rectangles.

Then, we have

**Volume of the prism = Base area x Height**

Here, the base is a triangle with base 6 cm and height 4 cm.

So, area of the base = (1/2) x 6 x 4 = 12 sq. cm

Height of the prism = 8 cm

Volume of the prism = 12 x 8

**Volume of the prism = 96 cubic cm**

**Problem 6 : **

Find the volume of the pyramid given below.

**Solution : **

**Volume of the pyramid = (1/3) x Base area x Height**

Here, the base is a square with side length 8 cm.

So, area of the base = 8 x 8 = 64 sq. cm

Height of the pyramid = 9 cm

Volume of the pyramid = (1/3) x 64 x 9

**Volume of the prism = 192 cubic cm**

**Problem 7 : **

Find the volume of the pyramid given below.

**Solution : **

**Volume of the pyramid = (1/3) x Base area x Height**

Here, the base is a rectangle with side length 10 inches and width 8 inches.

So, area of the base = 10 x 8 = 80 sq. inches

Height of the pyramid = 6 inches

Volume of the pyramid = (1/3) x 80 x 6

**Volume of the prism = 160 cubic inches**

**Problem 8 : **

Find the volume of the pyramid given below.

**Solution : **

**Volume of the pyramid = (1/3) x Base area x Height**

Here, the base is a triangle with height 7 inches and base 8 inches.

So, area of the base = (1/2) x 8 x 7 = 28 sq. inches

Height of the pyramid = 9 inches

Volume of the pyramid = 28 x 9

**Volume of the prism = 252 cubic inches**

After having gone through the stuff given above, we hope that the students would have understood "Modeling volume worksheets".

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