Volume of a cylinder, rectangular prism, triangular prism, area and perimeter of an ellipse can be calculated using this step by step areas and volumes calculator. A simple cylindrical volume calculator with the capacity to calculate area of a cylinder, volume of a cylinder, curved surface area, total surface area of a cylinder and triangular and rectangular prism. It is also packed with a clean worksheet for the calculation of area and perimeter of a parallelogram. The calculator is designed to help you calculate the volume, area, curved and total surface area and perimeter of a solid shape with steps.
Cylinder: A cylinder is a three-dimensional geometric shape that consists of two identical circular bases connected by a curved surface. It is formed by sweeping a circle along a straight path parallel to its axis. The curved surface effectively wraps around the two circular bases, giving it a smooth and rounded appearance.
Consider a cylinder with a radius of 5 cm and a height of 10 cm. To find its volume, we can use the formula
V = πr^2h,
where V represents the volume, r represents the radius, and h represents the height.
Substituting in the given values, we have
V = π(5 cm)^2(10 cm)
= 250π cm³.
Ellipse: An ellipse is a closed curve that resembles a flattened circle. It is formed by connecting all the points in a plane that are equidistant from two fixed points known as foci. The distance between these foci and any point on the ellipse remains constant, creating its distinctive shape.
Let's say we have an ellipse with a major axis of length 10 cm and a minor axis of length 6 cm.
To find its area, we can use the formula
A = πab,
where A represents the area, a represents half the length of the major axis, and b represents half the length of the minor axis.
Plugging in the given values, we have
A = π(5 cm)(3 cm) = 15π cm².
Rectangular prism:: A rectangular prism, also called a rectangular cuboid, is a three-dimensional shape with six rectangular faces. It has opposite faces that are congruent and parallel, making it a regular polyhedron. The length, width, and height of a rectangular prism are its defining parameters.
Consider a rectangular prism with a length of 6 cm, a width of 4 cm, and a height of 2 cm.
To find its surface area, we can use the formula
SA = 2lw + 2lh + 2wh
where SA represents the surface area, l represents the length, w represents the width, and h represents the height.
Plugging in the given values, we have
SA = 2(6 cm)(4 cm) + 2(6 cm)(2 cm) + 2(4 cm)(2 cm)
= 104 cm².
Triangular prism: is a three-dimensional shape with five faces. It consists of two triangular bases and three rectangular lateral faces connecting these bases. The triangular bases are congruent and parallel, while the three lateral faces are rectangles.
Let's say we have a triangular prism where the two triangular bases have base lengths of 4 cm and height lengths of 5 cm, and the height of the prism is 10 cm
To find its volume, we can use the formula
V = (1/2)bh,
where V represents the volume, b represents the base area of a triangle, and h represents the height of the prism.
Substituting in the given values, we have
V = (1/2)(4 cm)(5 cm)(10 cm)
= 100 cm³.
