Surface Area of a Cuboid: Finding Area based off Perimeter and Vice Versa

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

The surface area of the cuboid in the diagram is 450x cm².

a = 7

Calculate the volume of the cuboid.

$225x -49$ cm³

The volume of a rectangular cuboid 320 cm³.

The area of the rectangular face 80 cm².

Work out the surface area of the cuboid.

$352\operatorname{cm}^2$

The surface area of a rectangular prism 240 cm².

What is its volume according to the dimensions given in the diagram?

$201.6cm^3$