Volume and Surface Area of Prism

Surface Area and Volume of Rectangular Prism

Yeshi lhamo
2024

• Method for determining the volume and the surface area of an object was invented by Archimedes

• He was well known for his discovery of the relation between the surface area and volume.
  
  
  

​LESSON 1: HISTORY

Important Terms

3-Dimension: Length(longer) ,Width(shorter) and Height.
​Lateral Area- the area around the shape, the part of the shape that connects the bases.
Congruent Base /face: Face/ Base opposite to each other

GEOGREBRA:LINK......

LESSON 2: Surface Area of Rectangular Prism

Definition: The total surface area of a 3-D object is a measure of the total amount of area that covers all of its surfaces.


Units : Square centimeters (cm²), Square meters (m²)

LESSON 2: VOLUME OF RECTANGULAR PRISM

Definition: The volume of a 3-D object is a measure of the amount of space it takes up. Here are the most common units of volume:

Units : cubic centimeters (cm³), cubic meters (m³), liters (L), milliliters (mL), and gram (gm)

Multiple Choice

The formula for the volume of a cube with edge length 'e' is

• V = e
• V = 2e
• V = e^2
• V = e^3

Multiple Choice

What is the mass of 1 L of water in kilograms?

• 1 kg
• 0.5 kg
• 1.5 kg
• 2 kg

Multiple Choice

a) What is the volume of an 8 cm cube?

• 1000 cubic cm
• 256 cubic cm
• 512 cubic cm
• 64 cubic cm

Multiple Choice

What are the dimensions of a cube with a volume of 8 cm³?

• 4 cm x 4 cm x 4 cm
• 3 cm x 3 cm x 3 cm
• 2 cm x 2 cm x 2 cm
• 2 cm x 4 cm x 2 cm

Multiple Choice

How many cubic centimetres are there in 1 m³

• 100
• 10,000
• 1,000,000,000
• 1,000,000

Audio Response

Write a formula for the total surface area of a cube with sides e?

Open Audio Recorder

Draw

The total surface area of box is 62 cm2². show its the height ?

Fill in the Blank

Find the surface area

Fill in the Blank

7. How much wood (in cm2 ) does Nima need to make this box with no top?

,

.

Open Ended

b) Which prism has the greatest total surface area? Describe its shape.

Open Ended

c) Which prism has the least total surface area? Describe its shape.

Draw

Bebek wants to construct a wooden bath tub that can hold 2,000,000 ml of water. Help him to sketch the tub by showing one possible set of dimensions in metre

Draw

Draw two different rectangular prisms that has a volume of 36cm3 . Label its sides