MODELING VOLUME WORKSHEETS

About "Modeling volume worksheets

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.

Modeling volume worksheets - Problems

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.

Modeling volume worksheets - Answers

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

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