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
After having gone through the stuff given above, we hope that the students would have understood "Modeling volume worksheets".
Apart from the stuff given above, if you want to know more about "Modeling volume worksheets", please click here
Apart from the stuff given on this web page, if you need any other stuff in math, please use our google custom search here.
WORD PROBLEMS
HCF and LCM word problems
Word problems on simple equations
Word problems on linear equations
Word problems on quadratic equations
Area and perimeter word problems
Word problems on direct variation and inverse variation
Word problems on comparing rates
Converting customary units word problems
Converting metric units word problems
Word problems on simple interest
Word problems on compound interest
Word problems on types of angles
Complementary and supplementary angles word problems
Markup and markdown word problems
Word problems on mixed fractrions
One step equation word problems
Linear inequalities word problems
Ratio and proportion word problems
Word problems on sets and venn diagrams
Pythagorean theorem word problems
Percent of a number word problems
Word problems on constant speed
Word problems on average speed
Word problems on sum of the angles of a triangle is 180 degree
OTHER TOPICS
Time, speed and distance shortcuts
Ratio and proportion shortcuts
Domain and range of rational functions
Domain and range of rational functions with holes
Graphing rational functions with holes
Converting repeating decimals in to fractions
Decimal representation of rational numbers
Finding square root using long division
L.C.M method to solve time and work problems
Translating the word problems in to algebraic expressions
Remainder when 2 power 256 is divided by 17
Remainder when 17 power 23 is divided by 16
Sum of all three digit numbers divisible by 6
Sum of all three digit numbers divisible by 7
Sum of all three digit numbers divisible by 8
Sum of all three digit numbers formed using 1, 3, 4
Sum of all three four digit numbers formed with non zero digits
