Angela's Surface Area and Volume Post

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How to find the Total Surface Area of a Rectangular Prism:

Method 1:

Step 1: Find the areas of all the rectangles, FRONT, SIDE, and TOP.

• Finding the area of the TOP rectangle:

Dimensions:
l = 5m
w = 10 m

l x w = area
5 x 10 = area
50m² = area

• Finding the area of the FRONT rectangle:

Dimensions:
l = 6m
w= 10m

l x w = area
6 x 10 = area
60m² = area

• Finding the area of the SIDE rectangle:

Dimensions:
l = 6m
w= 5m

l x w = area
6 x 5 = area
30m² = area

Step 2: After you've found the area of the three rectangles you add them all up together:

50m²+60m²+30m²= 140m²

Step 3: After you've added all three sides you need to multiply the answer by 2:

140m²x 2 =SA
280m² = SA

METHOD 2:

Step 1: Draw the NET of the rectangular Prism.

Step 2: Find the Area of the Lateral area:

To do this you need to....

Find the length by adding up the lengths of the rectangles:

6 + 5 + 6 + 5 = 22 m

l x w = LA

22 x 10 = LA

220m²= LA

Step 3: Find the area of the other 2 identical rectangles:

l x w = a

6 x 5 = a

30m²= a

Step 4: Add up all the areas:

SA= LA+2(l x w)

SA= 220+2(5 x 6)

SA= 220+2(30)

SA= 220+60

SA=280m²

How to find the Total Surface Area of Triangular Prisms:

How to find the Total Surface Area of Cylinder:

Here are some links that will help you get more practice:

• Surface area of prisms and cylinders
• Nets of 3-dimensional figures

Here's also a video:

Don't forget to play the new Manga High Challenges!:

Finding the Volume of a Rectangular Prism:

Finding the Volume of a Cylinder:

Finding the Volume of a Triangular Prism:

Here are some games that will enable you onto practicing on finding the volume of a shape:

•  Volume and surface area of similar solids 
• Volume