Surface Area and Volume of Objects help?

Question

For this assignment, you will be finding the surface area and the volume of three different threedimensional figures.  You will need to find three figures and measure the dimensions using a ruler or tape measure.

Step 1: Find 3 three-dimensional figures around your house.  These can be anything from a soup can to the shower stall (Be creative!!).  You need to pick at least two different shapes (ie, not all rectangular).  

Step 2: Sketch each figure and label the dimensions (using appropriate units).  

Step 3: Find the surface area of each figure.  Make sure to draw the surfaces of the figure as we learned in this lesson.  Show all work and label your answers appropriately.  

Step 4: Find the volume of each figure.  Show all work and label your answers appropriately.

Answer 1

Step 1:

Consider three 3-Dimensional figures as Dice, ball and soup can.

Sketch the 3-Dimensional figure of Dice and label the dimension.

The object is in the shape of cube.

Side length of the cube is .

Find the surface area of the cube.

Surface area of the cube is .

Surface area of the cube is

Find the volume of the cube.

Volume of the cube is .

Volume of the cube is

Step 2:

Sketch the 3-Dimensional figure of ball and label the dimension.

The object is in the shape of sphere.

Radius of the sphere is .

Find the surface area of the sphere.

Surface area of the sphere is .

Surface area of the sphere is

Find the volume of the sphere.

Volume of the sphere is .

Volume of the sphere is

Step 3:

Sketch the 3-Dimensional figure of soup can and label the dimension.

The object is in the shape of cylinder.

Diameter of the base is .

Radius of the base is .

Height of the cylinder is .

Find the surface area of the cylinder.

Surface area of the cylinder is .

Surface area of the cylinder is

Find the volume of the cylinder.

Volume of the cylinder is .

Volume of the cylinder is

Solution:

Dice:

Surface area of the cube is

Volume of the cube is

Ball:

Surface area of the sphere is

Volume of the sphere is

Soup Can:

Surface area of the cylinder is

Volume of the cylinder is