Examples with solutions for Surface Area of a Cuboid: A shape consisting of several shapes (requiring the same formula)

Exercise #1

A shape is composed of 7 identical rectangular prisms.

Express the surface area of the shape in terms of x x .

12x4x7

Video Solution

Answer

480x2+1232x 480x^2+1232x

Exercise #2

In the diagram, there is a shape composed of 3 identical orthohedra whose dimensions are given below.

What is the surface of the shape?

634

Video Solution

Answer

240 cm²

Exercise #3

In the drawing there are 5 cubes which have side lengths of 4 cm. Calculate the area of all the cubes together with their their combined volume.

444

Video Solution

Answer

S=400,V=320 S=400,V=320

Exercise #4

The shape in the diagram is composed of 3 identical orthohedra.

Calculate the surface of the shape.

324

Video Solution

Answer

128cm2

Exercise #5

The shape below is composed of 5 identical orthohedra.

Calculate the surface of the shape.31.59

Video Solution

Answer

288 cm²