A rectangular prism is a three-dimensional shape, having actually six faces, where all the deals with (top, bottom, and also lateral faces) of the prism space rectangles such the every 2 opposite side deals with are identical. Favor all three-dimensional shapes, a rectangle-shaped prism additionally has volume and also surface area. A rectangular prism is also known together a cuboid. Let us learn an ext about a rectangular prism together with the formulas to uncover its volume and surface area.

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1.What IsRectangular Prism?
2.Types ofRectangular Prisms
3.Properties ofRectangular Prism
4.Formulas ofRectangular Prism
5.FAQs on rectangular Prism

What IsRectangular Prism?


A rectangle-shaped prism is a prism whose bases (both its height face and bottom face)are rectangles.It has actually 6 deals with in total out ofwhich there room 3 bag of identical opposite faces. I.e., every 2 opposite deals with are identical in a rectangular prism. It has actually three dimensions, length, width, and also height. Some examples of a rectangle-shaped prism in genuine life are rectangle-shaped tissue boxes, college notebooks, laptops, fish tanks, big structures such together cargo containers, rooms,storage sheds, etc. In the figure below, you have the right to see just how a rectangular prism watch like and also how its network (the shape developed by it once its deals with are opened) looks like.

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Types ofRectangular Prisms


There space two types of rectangle-shaped prisms that space classified relying on the form of the side faces (or) the edge made by the side encounters with the base.

Right rectangular prismOblique rectangular prism

A right rectangle-shaped prism has its side deals with perpendicular to each of its bases. In this,all side faces are rectangles. One oblique rectangle-shaped prism is a prism that is not a right rectangular prism and its side encounters are parallelograms. In general, a rectangular prism without any type of specifications is a right rectangular prism.

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Properties ofRectangular Prism


Here room the nature of a rectangle-shaped prism that follow the definition.

A rectangular prism has 6 faces, 8 vertices, and also 12 edges.Its base and top are constantly rectangles.The side faces are rectangles because that a right rectangular prism vice versa, the side deals with of one oblique rectangle-shaped prism space parallelograms.It has 3 dimensions, length, width, and also height.

Formulas ofRectangular Prism


In this section, we will learn the formulas of the volume and surface area of a rectangle-shaped prism. For both that these, allow us consider a rectangular prism of size 'l', width 'w', and height 'h'. Follow me these dimensions, let us assume the 'l' and also 'w' room the dimensions of the base. Here are the formulas because that the volume and surface area that a rectangular prism.

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Let us see how to derive these formulas.

Volume of rectangle-shaped Prism

The volume of a rectangular prism is the room that is inside it. We understand that the volume of any type of prism is derived by multiply its basic area through its height. Here,

The elevation of the rectangle-shaped prism = h

Thus, the volume of the rectangular prism, V = lw× h = lwh.

Surface Area ofRectangular Prism

There space two species of surface ar area that a rectangular prism, one is the full surface area (TSA) and also the other is the lateral surface ar area (LSA).

TSA the a rectangle-shaped prism is the amount of the areas of every one of its faces.LSA that a rectangle-shaped prism is the amount of the locations of every its side encounters (no bases).

We deserve to calculate the areas of the side encounters of a rectangle-shaped prism making use of its network as displayed below.

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Using the over figure,

The total surface area (TSA) of a rectangle-shaped prism

= The sum of locations of all faces

= lw + lw +wh + wh + hl + hl

= 2 (lw + wh + hl)

The lateral surface area (LSA) the a rectangular prism

= The amount of areas of side faces

= wh + wh + hl + hl

= 2 (wh + hl)

We will check out the applications of these volume and also surface area recipe of a rectangular prism in the section below.

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Example 2:A gift is packed in a rectangular box (rectangular prism)of size 15 in, 10 in, and 8 in and also it demands to it is in wrapped with gift paper. Just how much gift record is forced to plunder the gift box?

Solution:

The dimensions of the given gift crate are,

length, together = 15in

width, w = 10in

height, h = 8in

To uncover the lot of gift file required, we need to discover the full surface area of the box.