#CUBE RECTANGLE FORMULA HOW TO#
#CUBE RECTANGLE FORMULA FULL#

With our notation, it is a rectangle with sides l and w, so its area is l × w. Now, let's use that information to study the base of our prism. Recall that all the faces in our calculator are rectangles, and, as mentioned in the rectangle area calculator, they are calculated by multiplying the side lengths. Surface_area = 2 × base_area + lateral_area, Therefore, since the solid has two bases (the bottom one and the top one), the surface area of a rectangular prism formula is as follows: On the other hand, A_l denotes the lateral area, meaning the total area of the four lateral faces. Note that A_b denotes the surface area of a single base of our prism.

h – the lateral edge length (also called the height of the prism).

Let's start with the notation we use for them and for the other values in our surface area of a rectangular prism calculator: To see what is the surface area of a rectangular prism, we need to know all three of its sides.

#CUBE RECTANGLE FORMULA HOW TO#

Time to put the high-brow words aside and focus on how to find the surface area of a rectangular prism. Lastly, the sides of each rectangle are called edges (again divided into base edges and lateral edges). The bottom and top faces of the box are called bases, and each of the other four is called a lateral face. Note that this, in particular, means that there are three pairs of identical faces placed on opposite sides of the solid.Īlso, as with any other scientific definition, there are a few fancy names associated with the prism. Well, that is a rectangular prism! Or do you remember those drawings of houses that we did in kindergarten? Remove the angular roof, and you're left with another example of a rectangular prism.įormally (mathematically), a right rectangular prism is a solid where all six sides are rectangles that are perpendicular to one another.

#CUBE RECTANGLE FORMULA FULL#

A regular, rectangular box, just like the ones you see in the supermarket, full of whatever products. (v) Length = 1.2 m, Breadth = 1.Before we see what the surface area of a rectangular prism is, we should get familiar with the prism itself.

(iv) Length = 80 cm, Breadth = 20 cm and Height = 40 cm (iii) Length = 2 m, Breadth = 1.5 m and Height = 1.5 m (ii) Length = 6 m, Breadth = 3 m and Height = 5 m (i) Length = 16 cm, Breadth = 60 cm and Height = 20 cm (v) Length = 5 m, Breadth = 1.5 m and Height = 1.2 m

(iv) Length = 3.2 cm, Breadth = 2 cm and Height = 8 cm (iii) Length = 0.5 m, Breadth = 3 m and Height = 4 m (ii) Length = 15 m, Breadth = 10 m and Height = 2 m (i) Length = 5 cm, Breadth = 4 cm and Height = 3 cm Note: While calculating the volume of a cuboid all theĭimensions should be changed into the same unit.ġ. Number of bricks = Volume of the wall/Volume of the brick Sell at $900 per thousand what will it cost to build the wall? Will be required for a wall 20 m long, 2 m high and 0.75 m thick? If bricks = 1620/27 = 60 Therefore, number of cubical boxes = 60.ħ. How many bricks each 25 cm long, 10 cm wide and 7.5 cm thick Number of boxes = Volume of carton/Volume of each box. Volume of carton = length × breadth × height. Therefore, volume of cuboid = 0.408 cubic cm.Ħ. Find the number of cubical boxes of cubical side 3 cm which can be accommodated in carton of dimensions 15 cm × 9 cm × 12 cm. Length = 1.7 cm, breadth = 0.2 cm and height = 1.2 cm.

Volume of cuboid = length × breadth × height. Find the volume of a cuboid of dimensions 17 mm × 0.2 cm × 12 mm in cu. Note: In a cuboid, when the length, breadth and height are of different units, convert them to a same unit and then solve.ĥ. Therefore, volume of cuboid = 700 cubic cm.

Therefore, the volume of the fish tank = length × breadth × height.Ĥ. Find the volume of a cuboid of dimensions 14 cm × 50 mm × 10 cm.īreadth = 50 mm we need to convert breadth to same unit and then Volume of the shoe box = Length × breadth × height.ģ. A fish tank is 40 cm long, 15 cm broad and 10 cm high. Therefore, volume of cuboid = 1344 cubic cm.Ģ. Michael made a shoe box with length 8 cm, breadth 6 cm and height 6 cm. Here, length = 14 cm, breadth = 12 cm and height = 8 cm. Therefore, volume of a cuboid = length × breadth × heightġ. Find the volume of a cuboid of dimensions 14 cm × 12 cm × 8 cm. We find that volume of the given cuboid with length 5 cm,īreadth 3 cm and height 2 cm is 30 cu cm. The number of 1 cm cubes in the given cuboid = 30 cubes = 5 × Volume of a cuboid = area of one surface × height cubic units Volume of a cuboid = (length × breadth × height) cubic units.

Cube rectangle formula