Given that the volume of the cuboid is equal to 72 cm³
The length of the cuboid is equal to 6 cm and the height is equal to half the length.
Calculate the surface of the cuboid
Given that the volume of the cuboid is equal to 72 cm³
The length of the cuboid is equal to 6 cm and the height is equal to half the length.
Calculate the surface of the cuboid
The first step is to calculate the relevant data for all the components of the box.
The length of the box = 6
Given that the height of a cuboid is equal to half its length we are able to deduce the height of the box as follows : 6/2= 3
Hence the height = 3
In order to determine the width, we insert the known data into the formula for the volume of the box:
height*length*width = volume of the cuboid.
3*6*width = 72
18*width=72
We divide by 18:
Hence the width = 4
We are now able to return to the initial question regarding the surface of the cuboid.
Remember that the formula for the surface area is:
(height*length+height*width+length*width)*2
We insert the known data leaving us with the following result:
(3*6+4*3+4*6)*2=
(12+24+18)*2=
(54)*2=
108
108 cm²