Volume of different shapes formulas pdf

We have provided definitions for all these terms so that you can be confident about all the mensuration concepts. Question 1 : PQRS is a rectangle. The ratio of the sides PQ and QR is Question 3 : ABCD is a trapezium. Sides AB and CD are parallel to each other. A line parallel to AB divides the trapezium in two parts of equal perimeter. Question 5 : Find out the height of a cylinder with a circular base of radius 70 cm and volume cubic cm.

Question 6 : If the sides of a triangle are 26 cm, 24 cm, and 10 cm, what is its area? Solution : The triangle with sides 26 cm, 24 cm and 10 cm is right-angled, where the hypotenuse is 26 cm.

Question 7 : Find the area of a trapezium whose parallel sides are 20 cm and 18 cm long, and the distance between them is 15 cm.

Question 8 : Find the area of a parallelogram with a base of 24 cm and a height of 16 cm. Q1: What is the formula for mensuration? Ans: Mensuration is commonly referred to as the study of geometry and the formulas that come under it involving the calculation of Area, Perimeter, Volume, and Surface Area of different types of 2D and 3D figures. For the full list of formulas, you can refer to this article. Q2: How can we remember mensuration formulas? Ans: The best way to remember mensuration formulas would be by understanding area and perimeter concepts and then using the formula tables provided in this article.

You can either take a printout of the page or bookmark it whenever you need it. Q3: Which is the easiest way of learning mensuration formulas? Ans: The easiest way of learning mensuration formulas will be by taking the printout of the formulas provided in this article and sticking them near your study table so that you can revise them whenever you want or you can bookmark this page and visit for revision.

Q4: Is there any difference between mensuration and geometry? Ans: Mensuration deals with the calculation of perimeter, area, volume, and other parameters for 2D or 3D geometric shapes. Geometry is concerned with the properties and relations of points and lines of various shapes. Q5: What are 2D and 3D mensuration? Ans: 2D mensuration deals with the area, perimeter, volume, and other parameters related to 2D geometric shapes such as square, rectangle, rhombus, circle, etc.

On the other hand, 3D mensuration is concerned with the calculation of volume, curved surface area, lateral surface area, and total surface area of 3D geometric shapes such as a sphere, cylinder, cone, etc. Now you are provided with all the necessary information regarding different mensuration formulas.

Work on the skill of finding volume with this batch of counting cubes worksheets. Count unit cubes to determine the volume of rectangular prisms and solid blocks, draw prisms on isometric dot paper and much more. Augment practice with this unit of pdf worksheets on finding the volume of a cube comprising problems presented as shapes and in the word format with side length measures involving integers, decimals and fractions.

This batch of volume worksheets provides a great way to learn and perfect skills in finding the volume of rectangular prisms with dimensions expressed in varied forms, find the volume of L-blocks, missing measure and more. Encourage students to work out the entire collection of printable worksheets on computing the volume of triangular prism using the area of the cross-section or the base and leg measures and practice unit conversions too.

Navigate through this collection of volume of mixed prism worksheets featuring triangular, rectangular, trapezoidal and polygonal prisms. Bolster practice with easy and moderate levels classified based on the number range used. Motivate learners to use the volume of a cone formula efficiently in the easy level, find the radius in the moderate level and convert units in the difficult level, solve for volume using slant height, and find the volume of a conical frustum too.

Access our volume of a cylinder worksheets to practice finding the radius from diameter, finding the volume of cylinders with parameters in integers and decimals, find the missing parameters, solve word problems and more! Take the hassle out of finding the volume of spheres and hemispheres with this compilation of pdf worksheets. Gain immense practice with a wide range of exercises involving integers and decimals.

This exercise is bound to help learners work on the skill of finding the volume of rectangular pyramids with dimensions expressed as integers, decimals and fractions in easy and moderate levels. Help children further their practice with this bundle of pdf worksheets on determining the volume of triangular pyramids using the measures of the base area or height and base.

To compare the quantity of liquid contained in the cylinder-shaped drink cans of various sizes we will have to calculate the volume of the canned bottle. A cylinder is a tube-like structure with circular faces of the same radius at either end joined by the planar circular surface. Think of it as the area of a circle multiplied by a new dimension, the height.

Suppose you and your friend are enjoying chilled summer drinks in different conical-shaped glasses. How will you figure out the amount of drink to be filled in each glass? A cone is a three-dimensional shape that has a flat surface at one end and a curved surface pointing outward towards a point at the other end which is called apex.

As we can see from the above cone formula, the capacity of a cone is one-third of the capacity of the cylinder. The volume of a cube can be easily found out by just knowing the length of the edge of the cube.

What will happen if you stack a bundle of many sheets of paper? How does it look? It makes up a cuboid. Let the area of a rectangular sheet of paper be A, the height up to which they are stacked be h and the volume of the cuboid be V. Then, the volume of the cuboid is given by multiplying the base area and height.

The volume here depends on the diameter or radius of the sphere since if we take the cross-section of the sphere, it is a circle. The surface area of sphere is the area or region of its outer surface. Wondering what will be the total volume of the ice-cream scoop on your waffles?

Since the scoop is hemispherical in shape, we will use the volume of a hemisphere formula to calculate this. If you cut a sphere in half, you obtain a hemisphere. Hence the volume of a hemisphere of same radius is half of the volume of a sphere of the same radius. A prism is a 3D object with flat faces, where faces are parallel to each other. It has the same cross-section along its length.

Mathematically, the volume of a prism is the product of the area of the base and the height. Pyramids can be classified into different types depending on their bases. The volume of a pyramid refers to the space enclosed between its faces. The volume of any pyramid is always one-third of the volume of a prism where the bases of the prism and pyramid are congruent and the heights of the pyramid and prism are also the same. Mariam has a real sweet tooth.